# Question: Bill has completed a 10 question multiple choice test on which he

Bill has completed a 10-question multiple-choice test on which he answered 7 questions correctly. Each question had one correct answer to be chosen from five alternatives. Bill says that he answered the test by randomly guessing the answers without reading the questions or answers.

a. Define the random variable x to be the number of correct answers on this test, and construct the probability distribution if the answers were obtained by random guessing

b. What is the probability that Bill guessed 7 of the 10 answers correctly?

c. What is the probability that anybody can guess six or more answers correctly?

d. Do you believe that Bill actually randomly guessed as he claims? Explain.

a. Define the random variable x to be the number of correct answers on this test, and construct the probability distribution if the answers were obtained by random guessing

b. What is the probability that Bill guessed 7 of the 10 answers correctly?

c. What is the probability that anybody can guess six or more answers correctly?

d. Do you believe that Bill actually randomly guessed as he claims? Explain.

## Answer to relevant Questions

A random variable that can assume any one of the integer values 1, 2, . . . , n with equal probabilities of is said to have a uniform distribution. The probability function is written P(x) _ 1/n for x _ 1, 2, 3,. , n. Show ...Test the following function to determine whether it is a probability function. If it is not, try to make it into a probability function. a. List the distribution of probabilities and sketch a histogram. b. Do you recognize ...The number of ships to arrive at a harbor on any given day is a random variable represented by x. The probability distribution for x is as follows: Find the mean and standard deviation of the number of ships that arrive at a ...a. Draw a histogram of the probability distribution for the single-digit random numbers 0, 1, 2, . . . , 9. b. Calculate the mean and standard deviation associated with the population of single-digit random numbers. c. ...Show that each of the following is true for any values of n and k. Use two specific sets of values for n and k to show that each is true.Post your question