Solved: John is offering chocolates at a Plaza. The experimental probability of a randomly chosen shopper accepting a sample is 10%. The conditional probability of a customer purchasing some chocolates given that he/she tried the sample is 18%. No one buys the chocolate without trying the sample. IF John offers 600 people chocolate samples, how many sales will he make?

Zaheeda scored 9 goals in 5 netball matches At this rate about how many goals will she score in 10 games

Let the random variable XX be the random of the amount won. The random variable XX may take on only two value, (0,3000). That is x=0,3000x=0,3000 There are five hundred tickets to be sold and only one ticket wins P3,000. Therefore,…

1. For each of the following, determine whether it can serve as the probability distribution of some random variable: a) p(k) = 1/7 , for k = 0; 1; 2; 3; 4; 5; b) p(x) = x2 /30 , for x = 0; 1; 2; 3; 4; c) p(y) = (y+4)/(y-4) , for y…

Five hundred tickets will be sold, and these will be raffled during the town fiesta. One of these tickets will win P3,000, and the rest will win nothing. What will be the expected outcome and variance of your gain if you buy one of th…

Refer to Exercise 5. What is the expected number of patients with undesirable side effects. What is the standard deviation of the number of patients with undesirable side effects.

A doctor knows from experience that 10% of of the patients to whom he prescribes a certain blood pressure medication will have undesirable side effects. Calculate the probability that of the 10 randomly selected patients: a) none …

Explain in each case why the given equation cannot serve as the probability density function of a random variable that takes on values on the interval from 0 to 5: a) f(x) = 1/10 (x - 4); b) f(x) = 1/50 (x + 1).

Five hundred tickets will be sold, and these will be raffled during the town fiesta. One of these tickets will win P3,000, and the rest will win nothing. What will be the expected outcome and variance of your gain if you buy one of th…

In a certain village 28% of all cars are made by Ford. (ii) 14 cars are chosen randomly in this village. Find the probability that fewer than 4 of these cars are made by Ford. (iii) A random sample of 50 cars in the village is taken…

A frozen food distributor claims that 80% of its frozen chicken dinners contain at least three ounces of chicken. To check the claim, a consumer testing service decides to check ten of these chicken dinners and rejects the claim unles…

8. A quality control engineer wants to check whether, in accordance with speci cation, 90% of products shipped are in perfect working condition. To this end, she randomly selects 12 items from each lot ready to be shipped and passes t…

In a certain village 28% of all cars are made by Ford. (ii) 14 cars are chosen randomly in this village. Find the probability that fewer than 4 of these cars are made by Ford. (iii) A random sample of 50 cars in the village is taken…

Find z if the standard normal-curve area a) between 0 and z is 0.4726; b) to the left of z is 0.9868; c) to the left of z is 0.3085; d) between -z and z is 0.9282 12. If a random variable has the normal distribution with \…

A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is the probability that more than 4 seeds germinate?

The grapefruits grown in a large orchard have a mean weight of 18.2 ounces with a standard deviation of 1.2 ounces. weights of these grapefruits has roughly the shape of a normal distribution, what percentage of the grapefruit weigh …

18. The lengths of fully-grown scorpions of a certain variety have a mean of 1.96 inches and standard deviation of 0.08 inch. Assuming that the distribution of these lengths has roughly the shape of a normal distribution, find what pe…

In the length of of hospitalization study conducted by several cooperating hospitals,a random sample of 64 peptic ulcer patients was drawn from the list of all peptic ulcer ever admitted to the participating hospital and the length of…

22. For a chi-square distribution,find x2\alpha such that a) P(X2 > x2\alpha) = 0:99 when df = 4; b) P(X2 > x2\alpha) = 0:025 when df = 19; c) P(37.652 < X2 < x2\alpha) = 0:045 when df = 25. 23. Find a) t0.…

1. An urn contains 4 balls numbered 1, 2, 3, 4, respectively. Let Y be the number that occurs if one ball is drawn at random from the urn. What is the probability function for Y ? 2. Consider the urn in Exercise 1. Two balls are …

We wish to estimate the mean serum indirect bilirubin level of 4 days old infants.the mean for the sample of 16 infants was found to be 5.98mg/100cc.assume the bilirubin levels in 4 days old infant are approximately normally distribut…

A sample of 60 Grade 11 students' ages was obtained to estimate the mean of all Grade 11 students. The sample mean is 16.4 years and the population standard deviation is 4. What is the point estimate for µ?

Suppose the force acting on a column that helps to support a building is normally distributed with mean 16.0 kips and standard deviation 1.35 kips. What is the probability that the force a. Is at most 17 kips? b. Is betwee…

The automatic opening device of a military cargo parachute has been designed to open when the parachute is 202 m above the ground. Suppose opening altitude actually has a normal distribution with mean value 202 m and standard de…

Suppose a population has a mean of 180 with a standard deviation of 30 pounds. Find the standard deviation of the sampling distribution of the sample means for sample size of 450

A new stockbroker (XYZ) claims that his brokerage fees are lower than that of your current stock broker's (ABC). Data available from an independent research firm indicates that the mean and std-dev of all ABC broker clients are $18 an…

There are two octahedral dice with faces marked 1 through 8. They are constructed such that the side 8 is 1.5 times as probable as the 2 through 7 and the sum of the probabilities of the 1 and the 8 equals that of the pairs on opposin…

Suppose a population has a mean of 165 with a standard deviation of 20 pounds. Find the standard deviation of the sampling distribution of the sample means for sample size of 60

A manufacturer claimed that at least 95% of the equipment which he supplied to a factory conformed to specification. State the null and alternative hypothesis for each of the following statements

Using the number 1,2,3,4,5 and 6 as the element of the population a. find the mean of the sample of size 3 without replacement b.construct the sampling distribution of the sample mean I. The mean II.The variance III…

A box contains 8 balls. One is numbered 2, two are numbered 3, one is numbered 4, and four are numbered 5. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If th…

If p(A) = 0.6 and k is the number of successes of A in n trials (A) Show that p {550<= k <= 650} = 0.999 , for n = 1000 (B) Find n such that p{0.59n <= k <= 0.61n} = 0.95

A shipment of 25 similar laptop computers to a retail outlet contains 5 that are defective. If a school makes a random purchase of 3 of these computers, find the probability when the school accidentally purchased 1 defective and 2 are…

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method…

The probability that a person of a particular age will be alive 30 years hence is 0.25. An Insurance Policy is bought by 6 persons of identical age and health conditions. Find the probability that 30 years hence, of these 6 persons,…

Testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests negative, then both samples are negative. On the other hand, one positive sample will always te…

Consider a population consisting of a 2,3,4,5,6.Suppose sample size of 2 are drawn from this population. Describe the sampling distribution of the sanple means.

Two coin are tossed. Let T be the number of tails that occur. Determine the values of the random varibale T.

Monthly food expenditures for families in rodriguez rizal averaged php6,500 with

The average family size in the Philippines was reported as 4.25. A random of families in a particular street resulted in the following family sizes: 5, 6, 7, 4, 3, 2, and 9. At 𝛼=0.10, does the average family size more than the nation…

A population has a mean of 75 and a standard deviation of 17.4. A sample of 35 items is randomly selected from this population. What is the probability that the mean of this samples lies between 72 and 79?

A budget head for SSS Sales Inc. would like to compare the daily travel expenses for the sales staff and the audit staff. He collected the following sample information. Sales Staff 105 120 140 160 100 170 160 140 130 160…

Graph using the scatter plot diagram and interpret the following data. 71-80. The owner of a chain of fruit shake stores would like to study the correlation between atmospheric temperature and sales during the summer season. Suppose …

It has been reported that the average credit card debt for college seniors is $3262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected sen…

find the variance and standard deviation of the probability distribution of a random variable x which can take only the values 2,4,5 and 9, given that p(2)= 9/20, p(4)= 1/20, p(5) = 1/5, and p(3)= 3/10

Wireless sets are manufactured with 25 soldered joints each on the average 1 joint in 500 defective. How many sets can be expected to be free from defective joints in a consignment of 10,000 sets.

Among 157 African American men, the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. We wish to know if based on these data, we may conclude that the mean systolic blood pressure for a population of African …

Find the variance and standard deviation of the probability distribution of the random variable X, which can take only the values 1,2, and 3, given that P(1)= 10/33 P(2)=1/3 and P(3) = 22/33

let x be a random variable with E(x)=1 and e[x(x-1)]=4. find var(x)

what is the probability that a market inspector will discover greater than five violation of the public health code

Obtain the equation of the regression line Y on X from the following data : X 3 5 6 8 9 11 Y 2 3 4 6 5 8

The number of inquiries received per day by the Office of Admissions in a certain university is shown below. Find the variance and standard deviation. Number of inquiries: 22, 23,24,25,26,27 Probability: 0.08, 0.19, 0.36, 0.25, 0.…

Determine whether the given values can serve as the values of a probability distribution of the random variable X that can take only the values 1, 2, 3, and 4. Write PD if it is a probability distribution and DPD if it is not on the s…

A simple random sample of size 36 is drawn from finite population consisting of 101 units. If the population S.D. is 12.6, find the standard error of sample means when the sample is drawn a) with replacement b) without r…

How do you determine the probability of a random variable? 2. How do you construct the bar graph of a probability distribution?

If mean monthly expense for six different item is $442. the mean expense of five of them is 460.how much the value of sixth item

Interest Rates Investments 5% 6% 7% 8% 9% Money market fund 1.7 2.8 3.0 3.6 4.5 Stock growth fund -5 -3 3.5 5 7.5 Bond fund 5 4 3.5 3 2 Government fund 4 3.6 3.2 2.8 2.1 Risk fund -12 -7 4.2 9.3 16.7 Savings bonds 3 3 3.2 3.4 3…

Your Company manufactures goods for a market in which the technology of the products is changing rapidly. The research and development department has produced a new product which appears to have potential for commercial exploitation…

Two cards are drawn from a deck. How many possible values can each of the following variables take? Sum of the numbers on the cards: Number of times both cards are black: Number of times both cards are 7s: Number of times the first c…

Compute a range of yearly clothing expenditures— measured in dollars—that includes 80% of all students on this campus? Explain why any number of such ranges could be found, and find the shortest one.

A random sample of 23 components is drawn from a population size of 100. The mean measurement of the random sample is 67.45mm and has a standard deviation of 2.93 mm. Determine a 90% confidence interval for an estimate of the mean o…

How to find probability distribution for example like car sale and probability. So I need a method to find out number of sales in two day period.

Last year the employees of the city health department donated an average of $ 8 to the rescue squad. Test the hypothesis at the 0.01 level of significance that the average contribution this year is still $ 8 if a random sample of 35 e…

How many ways are there to permute the 8 letters A, B, C, D, E, F, G, and H so that A is not at the beginning and H is not at the end?

a deck has four cards - an ace of spades, an ace of hearts, an ace of diamonds and an ace of club. two cards will be drawn with replacement. let H denote the number of the ace of hearts is drawn

calculate the ss for the following sample of n=8 scores 0,4,1,3,2,1,1,0

the dean of admissions in a large university has determined that the scores of the freshman class in a mathematics test are apporoximately normally distributed with a mean 72 and a standard deviation of 4 based of this information,wha…

A production line estimates that 1.50% of the items it produce is defective. In a package containing 200 items, find the probability that two items are defective.

The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function. f(x) = x, 0 < x < 1, 2 − x, 1 ≤ x < 2, 0, e…

Describe the shape, the mean, and the standard deviation for each of the following two distributions. a. A population of scores with µ = 50 and σ = 6. b. The distribution of sample means based on samples of n = 36 selected from a …

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 777 hours and a standard deviation of 26 hours. Random samples of 30 bulbs are drawn from this popul…

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 801 hours and a standard deviation of 98 hours. Find the probability that a random samples of 19 bul…

1. There are 1000 fish in a pond, of which 200 belong to the species of interest. Fish are caught one at a time, and for every fish that is caught, its species is noted before it is released to the pond. What is the probability that 1…

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 810 hours and a standard deviation of 74 hours. Find the probability that a random samples of 36 bul…

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 808 hours and a standard deviation of 93 hours. Find the probability that a random samples of 19 bul…

The probability that a family prefers tea of brand A is 0.3. Find the probability that the tenth family in a survey is found to be fifth one, who prefer tea of brand A.

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 800 hours and a standard deviation of 65 hours. Find the probability that a random samples of 46 bul…

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 811 hours and a standard deviation of 95 hours. Find the probability that a random samples of 44 bul…

A card is drawn at random from a pack of 52 cards.find the chance that, it is red it is king it is either red or a king

Assume that 99.7% of grade 11 students have weights between 45 kg and 60 kg and the data are normally distributed. a)find the mean b) compute the standard deviation c) construct the normal curve of the normal dist…

Two balance dice are thrown. What is the expectation and variance of the number of trials until the scores of two dice agree for the 10th time?

Construct a grouped frequency table for the data of 50 statistics examination scores. 96 69 63 69 $70 76 39 82 95 88 57 55 88 43 55 94 73 66 69 98 84 81 82 71 77 90 76 86 59 63 71 85 49 93 92 72 68 73 89 75 79 90 74 75 78 60 48 90 64 …

A basket contains 10 ripe and 4 unripe bananas. If three bananas are taken from the basket one after the other, determine the values of the random R representing the number of ripe bananas

Using the number 1,2,3,4,5 and 6 as the element of the populations A.construct the sampling distribution of the sample mean and the probability histogram

Paul wants to investigate how much time his students spend on the internet. He gives each of them a questionnaire. Which of these is the most appropriate question? Explain your choice in the comment box.

The manufacturer of a certain kind of light bulb claims that the lifetime of the bulb in hours, X can be modeled as a random quantity with PDF. fX(x)=0,c/x^2 x< 100 x> 100, where e is a constant. i. What value must e ta…

A scientist inoculates several mice, one at a time, with a disease germ until he finds 2 mice that have attacked by the disease. If the probability of getting attack of the disease is 1/6, what is the probability that 8 mice are requi…

Hemoglobin (g percent) values were recorded for a sample of 20 children who were part of a study of acute leukemia. The variance of the observations was 5. Do these data provide sufficient evidence to indicate that the population va…

The given data represents the Sales of Companies (Sales ($000)), Advertisement Cost(Ads ($000)) and Employee number (Number of Employess) of 20 U.S. companies. a. Construct a Cumulative Frequency Distribution Table of the Sales of t…

20% of items produced from a factory are defective. What is the probability that in a sample of 5 chosen at random, none is defective, one is defective and p (1

A bag contains 400 colored counters. The counters are either yellow, brown or green. There are 92 yellow counters in the bag. The probability that a brown counter is chosen from the bag is 0.13 Calculate the number of green counters i…

Find the mean, variance, and standard deviation of the scores of the students in an English test: 8, 9, 12, 18, 11, 16, 25, and 19

In each of 4 races, the Democrats have 60% chances of winning. Assuming that the races are independent of each other, find the probability that: (1) the Democrats will win 0 races, 1 race, 2 race, 3 race, or all 4 races? (2) the Democ…

A random variable, Z, which has mean 0 and standard deviation 1, find (1) p(z>1.2) (2) p(-2.0

1.Given X and n, find p and q. Show your calculation steps. 1.X=56; n=80 2.X=35; n=96 3.X=420; n=1000 4.X=636; n=1200 5.X=1200 n=10000

In a survey of 120 grade 5 pupils, 50 do not like to watch Pinocchio. Find p and q where p was the proportion of children who like to watch the film.

Joshua conducted an opinion poll among voters to determine if they approved the plan of biometrics there 365 who said they approved the plan. If there were 528 in the sample. What is p? and what is q?

we have a bag containing white and black balls (balls are infinite) we keep drawing the balls until we see 2 white balls or black balls in a consecutive draw

You flip 3 coins. Let X, the random variable, be the number of tails on all three coins. Construct a probability distribution for this experiment.

The time taken to assemble a car in certain plant is a random variable having a normal distribution of 20 hours and a standard deviation of 2 hours. What is the probability the car can be assembled at this plant in a period of time a…

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Question ID: mtid-4-stid-46-sqid-1670-qpid-140