Statistics and Probability Answers

A machine producing hair pins produces 1 defective out of 400 on an average. If 100 hairpins are packed in each box.

In above problem, suppose the manufacturer gives guarantee that there will be less than 3 defectives in a box of 100. What is the probability that a box selected at random will meet the guarantee.

Given a random variable with binomial distribution use moment generating technique to determine the mean

Consider a population consisting of the values (1, 3, 4) Solve for the following

A.

a. Compute the population mean

b. Compute the population variance. c. Compute the population standard deviation

a. List all the possible samples of size 2 that can be drawn from the population wi replacement.

a List all the possible samples of size 2 that can be drawn from the population with replacement.

b. Compute the mean of the sampling distribution of the means

e. Construct the probability histogram of overline x with replacements when n = 2

B.

c. Compute the variance of the sampling distribution of the means d. Compute the standard deviation of the sampling distribution of the means.

e Construct the probability histogram of overline x with replacements when n = 2

c. Compute the variance of the sampling distribution of the means. d. Compute the standard deviation of the sampling distribution of the means.

b. Compute the mean of the sampling distribution of the means.

The weights of students in a certain school are normally distributed with a mean weight of 66 kg. 10% have a weight greater than 70kg. What percentage of students weighs between 62kg and 66kg?

The probability that Tope passes an exam is 1/3 and probabilities that his brother

and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that

the three of them will fail the exam.

A study is performed to determine how the study habits of Canadian

high school students changes over time. Which type of study is most

appropriate?

In a certain true or false exam, there are 10 questions

set for the candidate. If a candidate guesses the answer

at each time

a) What is the probability that the candidate will get 8 or

more correct answers?

b) What is the probability that the candidate will answer

6 questions correctly?

c) What is the mean number of correct answers you

would expect the candidate to obtain? Find the

variance

How would we know if we are to reject the null hypothesis and accept the alternative hypothesis

if the samples are 16, 17, 15, 24, 20, 20, 20, 23, 18, and 19. what is the point estimate of the population standard deviation?

if the given samples are 45, 47, 48, 51, 50, 55, 49, 48, 55, and 54. compute the point estimate of the population variance.