Who is the king of late night TV? An Internet survey estimates that, when given a choice between David Letterman and Jay Leno, 56% of the population prefers to watch Jay Leno. Three late night TV watchers are randomly selected and asked which of the two talk show hosts they prefer.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Who is the king of late night TV? An Internet survey estimates that, when given a choice between David Letterman and Jay Leno, 56% of the population prefers to watch Jay Leno. Three late night TV watchers are randomly selected and asked which of the two talk show hosts they prefer.

(a) Find the probability distribution for Y, the number of viewers in the sample who prefer Leno.
P(Y = 0) =
P(Y = 1) =
P(Y = 2) =
P(Y = 3) =
(b) Construct a probability histogram for p(y).
0.50
0.50
0.50
0.40
0.40
0.40
3 0.30
3 0,30
0.30
0.20
0.20
0.20
0.10
0.10
0.10
0.00
0.00
0.00
0 1
2
3
0
1
3
0 1
2
3
y
y
y
0.50
0.40
3 0.30
0.20
0.10
0.00
1
2
y
(c) What is the probability that exactly one of the three viewers prefers Leno?
p(y) =
Transcribed Image Text:(a) Find the probability distribution for Y, the number of viewers in the sample who prefer Leno. P(Y = 0) = P(Y = 1) = P(Y = 2) = P(Y = 3) = (b) Construct a probability histogram for p(y). 0.50 0.50 0.50 0.40 0.40 0.40 3 0.30 3 0,30 0.30 0.20 0.20 0.20 0.10 0.10 0.10 0.00 0.00 0.00 0 1 2 3 0 1 3 0 1 2 3 y y y 0.50 0.40 3 0.30 0.20 0.10 0.00 1 2 y (c) What is the probability that exactly one of the three viewers prefers Leno? p(y) =
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