Solved: In a railway yard goods trains arrive that at the rate of 30 trains per day. Assuming that the inter-arrival time follows an exponential distribution and the service time distribution is also exponential with an average of 36 minutes, calculate the probability the yard is empty 2) the average length assuming that the line capacity of the yard is 9 trains

A TELCO office has seven telephone lines. For the past months, the probability distribution of the random variable X which represents the number of busy lines per day, X={0, 1, 2, 3, 4, 5, 6, 7} P(X)={.02, .27, .06, .22, .15, .04, .08…

The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 150 randomly selected students resulted …

Four coins are tossed. Let H be the random variable representing the number of the heads occur. Find the values and construct the probability distribution of the random variable H.

Using the Z table, find the critical value for a) α = .05, two-tailed test b) α = .01, two tailed test c) α = .10, two-tailed test

The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 150 randomly selected students resulted …

What is the probability that the number of pants sold is more than 3

Find the variance for the sample given in a. 2, 4, 7, 12, 15

let the random variable x represent the number of boys in the family construct the probability distribution for the family of two children

Two balanced dice are rolled. Let X be the sum of two dice. Obtain the probability distribution of X

Four coins are tossed together and the random variable S gives the number of tails that will appear.

Suppose a coin is tossed two times. Let T be the random variable representing the number of tails that occur. Find the values of the random variable T and construct its probability distributions.

a group of students got the following scores in an achievement test:9,12,15,18,21,and 24.consider sample of size 3 that can be drawn from this population A. determine and laser the possible samples and the corresponding sample …

Find the mean of the following probability of a random variable X. P(1) = 1/8 , P(2) = 3/8, P(4) = 3/8, P(4) = 1/8

Two balls are drawn in succession without replacement from an urn containing 4 red balls and 5 blue balls. Let R be the random variable representing the number of red balls. Find the values of the random variable R

find the mean of the probability distribution of the random variable x, which can take only the values if P(x)= 1/10 , for x= 1,2,3...., 10

Ron tossed unbiased coin, on each toss, he wins P50 if head appears, and loses P40 if tail appears. What will be the expected value of his gain?

Draw the normal curve, then locate the given z values in the curve. Find the area that corresponds to the given z values using the z-table, then shade the required area.

A population consistent of value 3,5,7 and 9 1)List all the possible of size n=3 when drawing with replacement and compute the mean of each sample 2) construct a sampling distribution of the mean 3) compute …

A teacher gets the height of each student in his class,and it has the mean of 161 cm and a standard deviation of 10cm Approximately what percent of these student have a height greater than 164 cm?

A basket contains 12 ripe and 7 unripe mangoes. If four mangoes are taken from the basket one after the other, how many samples space we have in this experiment?

What can you assume if the graph of a distribution is bell-shaped?

Suppose three coins are tossed. Let Y be the random variable representing the number of tails that occur. Find the values of the random variable Y

A meeting of consuls was attended by 4 Americans and 2 Germans. If three consuls were selected at random one after the other, illustrate the probability distribution of a random variable G (number of Germans) and draw the histogram.

Four coins are tossed.Let Z be the random variable representing of heads that occur.Construct a table and find the values of random variable Z. 1.Determine the sample space.Let represent the tail and it represent the head. 2.Count t…

Two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls. Let Z be the random variable representing the number of Blue balls. Find the values of the random variable Z

Find the probability given the following z-scores. Use figure 1. For this activity

Suppose three coins are tossed. Let Y be the random variable representing the number of heads that occur. Find the probability of each of the values of the random variable Y completele the table below

Consider the population consisting of 1, 2, 3, 5, 6, and 7. Suppose samples of size 4 are drawn from this population. Describe the sampling distribution of the sample means. Compute for the mean and the variance of the sampling distri…

Medical aid board wants to find if the mean time to settle medical claims of members differs between 2 major medical schemes. The sample mean time to settlement was 10.8 days. Population standard deviation of 3.2 days for 1 and the ot…

6. A shipment of five computers contain two that are slightly defective. If a retailer receives three of these computers. How many random variables X representing the number of slightly defective computers? a. 1 b. 2 c. 3 d. 4

Medical aid board wants to find if the mean time to settle medical claims of members differs between 2 major medical schemes. The sample mean time to settlement was 10.8 days. Population standard deviation of 3.2 days for 1 and the ot…

Find 𝑷(𝟐) and the value of 𝒌 in the following discrete probability distribution. Show your complete solution x=0,1,2,3,4 p(x)=0.13,0.27,𝒌,0.09,0.12 (a) find 𝒌 (b) 𝑷(𝟐)

80 score in percentage

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 74.4 Mbps. The complete list of 50 data speeds has a mean of x=18.26 Mbps and a standard deviation of s=22.09 Mbps…

A certain kind of sheet metal has, on average, 9 defects per 14 square feet. Assuming a Poisson distribution, find the probability that a 25 square foot metal sheet has at least 14 defects. Round your answer to four decimals.

The number of typographical errors per page typed by a certain typist follows a Poisson distribution with a mean of 17. Then find the probability p that the total number of errors in one randomly selected page is 13. Round your answ…

A company prices its tornado insurance using the following assumptions: • In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.02. • The number of tornadoes in any calend…

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…

Find the missing Value in each of the following Mean X standard deviation Z 1. 60 72 8 2.58 72 2 3.45 3.2 1 4.77 56 7

A wallet contains a Php 20-bill, a Php 50-bill, and a Php 100-bill. A bill is taken out from the wallet and then replaced with a bill of the same amount that was taken away. If a bill is taken out from the wallet, what is the probabil…

A sample of 25 elements from a normally distributed population is selected.the sample mean is 10.assuming a population standard deviationog 4, determine the 95%confidence interval for mean ?

the weights of 1000 children have average of 45 kilograms and a standard deviation of 5 kilograms, how many children weight 35 kg to 55 kg

You play a game with two six-sided dice. If you roll a sum of 3 or 8, you win ₱600. If you roll a sum of 10, you win ₱400. However, you lose ₱500 for anything else. If you continue to play the game, how much do you expect to win o…

In a hospital, a statistician records the sex of newborn babies. Let M be the random variable representing males among five newborn babies.

In a certain country, the true probability of baby being a girl is 0.45. Among the next seven randomly selected births in this country, what is the probability that at least one of them is a boy? Would it be a significant event if…

A machinist is making engine parts with axle diameters of 0.700 inch. A random sample of 10 parts shows a mean diameter of 0.742 inch with a S.D. of 0.040 inch. Compute the statistic you would use to test whether the work is meeting t…

A basket contains 12 ripe and 7 unripe mangoes. If four mangoes are taken from the basket one after the other, how many samples space we have in this experiment?

Daniel went to the perya and played a game. The rule says that the outcome of the game is a random variable from 1 to 14 and that if the outcome is even, he wins ₱50. If the outcome is odd, he wins nothing. Assuming that playing i…

X 3 6 9 12 15 P(X) 4/9 2/9 1/9 1/9 1/9

Two balls are pick in succession without replacement, 4 white balls and 5 green balls. let Y be the random variable representing tge gree balls. Find the values of a random variable Y. Complete the table gelow.

If you believe that your brand of refrigerator last longer than the mean of 14 years...

suppose that you are searching for a room for rental at makweng until you find a place that will satisfies your needs. Suppose that the probability of finding the right place is 0.4. what is the probability that you do not choose at l…

If X follows a normal distribution with u = 30 and o = 4, what is P(X <27)?

A psychologist feels that playing soft music during a test will change the results of the test...

Monthly food expenditures for families in Rodriguez Rizal averaged Php6,500 w a standard deviation of Php750. Assuming that the monthly food expenditures are normally distributed. What percentages of these expenditures are betwe…

a pair of fair dice is rolled. let x the random variable is representing the sum of the numbers that appear

construct the probability distribution of X for a pair of dice

The number of calories in a certain dessert is normally distributed with a mean of 210 and a standard deviation of 12. Find the probability that the dessert one select will contain between 185 and 216.

The score of Entrance Examination takers who took a 600 item exam resemble a normal distribution with a mean of 220 and a standard deviation of 10. The coordinator would like to get the lowest 15% of the scores and invite them f…

The absolute value of the difference of the squares of numbers that turn up when a pair of fair dice is rolled.

The number of females employees selected if five employees are selected by lottery from a group of six male and six female employees.

The professional organization for private colleges and universities professors reported that more than 17% of professors attended a national convention in the past year. To test this claim, a researcher surveyed 2…

The professional organization for private colleges and universities professors reported that more than 17% of professors attended a national convention in the past year. To test this claim, a researcher surveyed 200 pro…

The school registrar estimates that the dropout rate of freshmen high schools in Mindanao is 20%. Last year, 45 freshmen from a random sample of 250 Mindanao freshmen high school withdrew. At 𝛼 = 0.01, is there enough ev…

A survey of Davao Region finds the average commute time of employees on one way is 30 minutes. The Digos Chamber of Commerce feels that in their city is greater and want to publicize this. They randomly select 28 commuters and f…

Let X be a random variable with the following probability distribution: x 1 2 3 4 P(X) 0.4 0.3 0.2 0.1 Find the expected value and variance.

The school registrar estimates that the dropout rate of freshmen high schools in Mindanao is 20%. Last year, 45 freshmen from a random sample of 250 Mindanao freshmen high school withdrew. At 𝛼 = 0.01, is there enough evidence t…

The professional organization for private colleges and universities professors reported that more than 17% of professors attended a national convention in the past year. To test this claim, a researcher surveyed 200 professor…

Let X be the number of life years before certain kind of CFL bulb needs replacement. Let X have the probability mass function (pmf) is defined as f(x) = ax° r = 0,1,2,3,4 where a is some real constant. (a) Find the value of consta…

Let X be the number of life years before certain kind of CFL bulb needs replacement . Let X have the probability mass function is defined as f(x)=alphax**3,x=0,1,2,3,4 Where alpha is constant (a) Find the values of constant alpha …

Tom has a 0.5 chance of winning the Booker Prize, whereas John has a 0.4 chance of winning the Booker Prize. Only one Booker prize is up for grabs. How likely is it that at least one of them will win the prize?

If a binomial distribution has 10 trials and the probability of success is 0.4, then the mean is

It has been discovered that 5% of drivers stopped at a traffic stop had traces of alcohol on their person, and 10% of those stopped do not use seat belts. Furthermore, it has been discovered that the two offenses are unrelated to one …

A laboratory supervisor in hospital is investigating number of reported on-the-job training accidents over a period of one month. Based on past records, she has derived the following probability distribution for x; where x is the numb…

1. A random sample of n = 100 measurements is obtained from a population with 𝜇 = 55 and 𝜎 = 20. Describe the sampling distribution for the sample means by computing the 𝜇𝑥̅ and 𝜎𝑥̅.

Direction: Solve the problem below and construct probability distribution and make a histogram. Suppose three cellphones are tested at random. We want to find out the number of defective cellphones that occur. Thus, to each out…

Three coins are tossed.Let T be the random variable representing the number of tails that occur. Find the values of the random variable T.

Given the probability distribution of a discrete random variable X below, what is P(X≥8)?

Five balls are drawn in succession without replacement from an urn containing 5 orange balls and 6 violet balls.Let V be the random variable representing the number of violet balls. Find the values of the random variable V

A baskets contains 12 red balls and 5 white balls.If four balls are taken from the basket one after the other,determine the possible values of the random variable R representing the number of red balls

A population consists of the four numbers 1,2,4 and 5 .list all the possible samples of size n=3 which can be drawn with repalcement from the population.find the following: A .population mean b. Population variance c.population stand…

Construct a probability distribution for the data and draw a histogram for the following: The probabilities that a patient will have 0,1 ,2 , or 3 medical tests performed on entering a hospital are 6/15, 5/15, 3/15, and 1…

Three different fertilizers were applied to twenty plots and the yields were recorded as follows. A 21 4 30 25 14 Obtain the ANOVA table for the above data.

A box contains 12 similary shaped colored balls let the random variable X represents the number on the ball (numbered from 1-12) and a ball is drawn from a box What is the probobility distrubution of X.What mean and varian of X?

given the population of 5000 scores with mean = 86 and standard deviation = 10. How many score is Below 56%

Situation: You volunteered to be part of the medical mission in your barangay and in-charge to get weight of the children. The weights of children have an average of kilograms and a standard deviation of kilograms. a. How man…

In an achievement test, the mean score of normally distributed values is 70 and the standard deviation is 12. What is the percentage of students who got a score of 85 and above?

Number of times both cards are faced?

Number of times both cards are faced card

Number of times the cards have the same value

What is the square rot of 17

1. Suppose we know that 70% of all Canadians have or had a pet in their household. A researcher takes a simple random sample of 20 Canadians. What is the probability that at least 9 people in the sample have never had a pet in the…

4. The factory makes rulers (like the one in the picture above). Because they use older machinery, there is variability in marking on the ruler – the mean length (distance between 0 and 30 marks) is 30 cm, but it’s normally distribute…

Assume a significance level of a = 0.1 and use the given information to complete parts A and B below. original claim: The mean pulse rate and beats per minute of the certain group of adult males 72 bpm. The hypothesis test results in…

Researcher is using data for a sample of 10 observations to estimate the relation between consumption expenditure and income. Preliminary analysis of the sample data produces the following data. ∑xy = 700 , 1000 2 ∑x = , ∑X = 1…

The average monthly salary of 525 public school teachers in a municipality is P18925. 150 public school teachers were interviewed and found out they are receiving an average monthly salary of P17000. Identify the following: 1. Popula…

A box contains 5 balls. One is numbered 1, three are numbered 2, and one is numbered 3. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is rep…

The manufacturer of the Horizon truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distr…

A labor union claims “40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available” 74 persons out of the 200 sampled said they would return to work. Can we conclud…

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Question ID: mtid-4-stid-46-sqid-2432-qpid-902