According to a recent year\'s poll, 55% of Americans do not know that GOP stands

Question

According to a recent year's poll, 55% of Americans do not know that GOP stands for Grand Old Party (Time, October 17, 2011). Suppose this result is true for the current population of Americans. Let X be a Binomial random variable that denotes the number of people in a random sample of 17 Americans who do not know that GOP stands for Grand Old Party. What are the possible values that X can assume? What is the probability that exactly 8 people in the random sample of 17 Americans do not know that GOP stands for Grand Old Party.

Explanation / Answer

X can assume 0,1,2,...,17

Find P(X=8)

=17C8*0.55^8*0.45^(17-8)

=17!/8!*9!*0.00083*0.0007

=0.014

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