Solved: A short-term insurance company receives seven motor vehicle claims, on average, per day. Assume that the daily claims rate follows a Poisson process. Calculate all the probabilities using the Poisson formula What is the probability that on a given day no more than five motor vehicle claims will be received?

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…

What is the probability that a market inspector will discover, at least two, but fewer than four violations of the public health code?

Given the μ = 24 and σ = 3, compute the z-score that corresponds to the given score X = 39

Given the μ = 43.66 and σ = 1.03, compute the z-score that corresponds to the given score X = 37

There are 5 defective light bulbs in a bin containing 60 light bulbs.How many ways can you choose at least 4 defective light bulbs at random

Given a standard normal distribution with mean =105 and standard deviation = 28, find P(72 < X < 111)

Given a standard normal distribution with mean =92 and standard deviation = 41, find P(X>61)

Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a standard deviation of 6 cm, a. What is the probability that a child, picked at random, has a height greater than 116 cm? b. What is t…

Given a standard normal distribution with mean =101 and standard deviation = 43, find P(X>145)

Given a standard normal distribution with mean =61 and standard deviation = 35, find P(X<113)

Given a standard normal distribution with mean =115 and standard deviation = 30, find P(X<85)

An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 817 hours and a standard deviation of 48 hours. Find the probability that a bulb burns between 736 and 823 hours.

The weights of 1,000 children, in average, is 49kg with standard deviation of 18kg. Suppose the weights are normally distributed, how many children weigh between 53kg and 59kg?

The weights of 1,000 children, in average, is 61kg with standard deviation of 10kg. Suppose the weights are normally distributed, how many children weigh less than 60kg?

I. SAMPLE SPACE AND RANDOM VARIABLES Direction: With the experiments below, tabulate the data you gathered and find their sample space and random variable. Show your complete solution. (20 points total) 1. Tossing a coi…

The weights of 1,000 children, in average, is 62kg with standard deviation of 19kg. Suppose the weights are normally distributed, how many children weigh greater than 56kg?

An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 809 hours and a standard deviation of 48 hours. Find the probability that a bulb burns between 728 and 848 hours

I. SAMPLE SPACE AND RANDOM VARIABLES Direction: With the experiments below, tabulate the data you gathered and find their sample space and random variable. Show your complete solution. (20 points total) 1. Tossing a coin four…

An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 778 hours and a standard deviation of 40 hours. Find the probability that a bulb burns between 710 and 841 hours.

Use the following cell phone airport data speeds (Mbps) from a particular network. Find P80.

A box contains 6 red balls, 5 blue balls, and 10 green bas. In how many ways can you choose 2 red balls and 5 green balls

1. One of the undersecretary of the Department of Labor and Employment (DOLE) claims that the average salary of Social worker is Php18, 000. A sample of 19 social worker’s salary has a mean of Php17, 350 and standard deviation of…

The heights of 100 students are normally distributed with a mean height of 16 centimeters and standard deviation of 5.9 centimeters. Answer the following in percent form. a. How many of these students would you expect to hav…

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 786 hours and a standard deviation of 80 hours. Find the probability that a random samples of 17 bul…

4. The probabilities that a printer produces 0, 1, 2, and 3 misprints are 42%, 28%, 18%, and 12%, respectively. Construct the probability Mass function and then compute the mean value of the random variable.

a. Find the pdf of x = [a b] a 2-d vector, where a is a Bernoulli random variable and b is a Gaussian random variable. Assume, θ is the parameter for Bernoulli which gives the probability of a = 1, that is p(a=1) = θ. Assume, b foll…

A bag contains 8 blue and 7 yellow balls. Two balls are drawn in succession without replacement. Find the probability that both the balls are of yellow color.

Studied nine subjects who underwent baffle procedure for transposition of greater artery.at baseline the systemic vascular resistant measured is WU×m2 value at rest yielded a standard deviation of 28.test the hypothesis if we can conc…

There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 of the same …

Hemoglobin(g percent) values were recorded for a sample of 20 children who were part of a study of acute leukemia. The varience of the observation is 5 test the hypothesis if this data provide sufficient evidence to indicate that the …

The range of the sample data is what Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 s…

Find number of students securing marks >104, between 155-165, <55 from the following class data. Class(marks) frequency (students) 0-20 210 20-40 115 40-60 130 60-80 220 80-100 120 100-…

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Question ID: mtid-4-stid-46-sqid-1701-qpid-171