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In each problem, make sure that you are clearly defining random variables, stating their distributions, and...

In each problem, make sure that you are clearly defining random variables, stating their distributions, and writing down the formulas that you are using. (That is, write down the pmf, write down mean and variance formulas.)

1. Suppose we have a computer program that attempts to answer a yes or no question for us. The probability that the program will return the correct response 0.6. Suppose we run the program 15 times. Let X be the total number of times that the program returns the correct answer.

a. What kind of random variable is X? What is the pmf?

b. What is the mean and standard deviation?

c. What is the probability that the computer returns the right answer exactly 3 times? Less than 3 times? More than 7 times?

d. What is the probability that the computer returns the right answer less often than the wrong answer?

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Answer #1

二0.0602 li e han 7 tim es 1 20 χ드솝 d) -pmbabiliti ma,f Computerreturns - Y0

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