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) = 0.10, p(1) = 0.30, p(2) = 0.20, p(3) = 0.15, and p(4) = 0.25. (a) Draw the corresponding probability histogram. 0.30 0.30- 0.30 0.30 0.25 0.25 0.25 0.25 0.20 0.20 0.20 0.20 0.15 E 0.15 E 0.15 E 0.15 0.10 0.10 0.10 0.10 0.05 0.05 0.05 0.05 0.00 0.00 0.00 0.00 3 4 2 3 4 2 3 4 1 2 3 4 (b) what is the probability that at least two students show up? (No Response) More than two students show up? (No Response) (c) What is the probability that between one and three students, inclusive, show up? (No Response)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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) = 0.10, p(1) = 0.30, p(2) = 0.20, p(3) = 0.15, and p(4) = 0.25.
(a) Draw the corresponding probability histogram.
0.30
0.30
0.30
0.30
0.25
0,25
0.25
0.25
0.20
0.20
0.20
0.20
A 0.15
A 0.15
2 0.15
A 0.15
0.10
0.10
0.10
0.10
0.05
0.05
0.05
0.05
0.00
0.00
0.00
0.00
1
3
4
1
2
3
4
3
4
1
4
(b) What is the probability that at least two students show up?
(No Response)
More than two students show up?
(No Response)
(c) What is the probability that between one and three students, inclusive, show up?
(No Response)
(x)d
Transcribed Image Text: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) = 0.10, p(1) = 0.30, p(2) = 0.20, p(3) = 0.15, and p(4) = 0.25. (a) Draw the corresponding probability histogram. 0.30 0.30 0.30 0.30 0.25 0,25 0.25 0.25 0.20 0.20 0.20 0.20 A 0.15 A 0.15 2 0.15 A 0.15 0.10 0.10 0.10 0.10 0.05 0.05 0.05 0.05 0.00 0.00 0.00 0.00 1 3 4 1 2 3 4 3 4 1 4 (b) What is the probability that at least two students show up? (No Response) More than two students show up? (No Response) (c) What is the probability that between one and three students, inclusive, show up? (No Response) (x)d
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