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3. Who is the king of late night TV? An Internet survey estimates that, when given a choice between David Letterman and Jay Leno, 57%

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3. Who is the king of late night TV? An Internet survey estimates that, when given a choice between David Letterman and Jay Leno, 57% 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. Y = y 0 2 3 P( Y = y) .J "J (b) What are the mean and standard deviation for Y

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