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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 66E
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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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