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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 11e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 11e

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# Let X be the number of students who show up for a ISBN: 9780321629111 32

## Solution for problem 11E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 11E

Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a. Draw the corresponding probability histogram. b. What is the probability that at least two students show up? More than two students show up? c. What is the probability that between one and three students, inclusive, show up? d. What is the probability that the professor shows up?

Step-by-Step Solution:

Answer : Step 1 : Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a). Now we have to draw the corresponding probability histogram. Then the table is given below. X P(X) 0 0.20 1 0.25 2 0.30 3 0.15 4 0.10 We have drawn probability histogram is given below.

Step 2 of 4

Step 3 of 4

##### ISBN: 9780321629111

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