SOLUTION: " According to a 2011 poll, 55% of Americans do not know that GOP stands for Grand Old Party (Time, October 17, 2011). Suppose that this result is true for the current population o

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Question 1187568: " According to a 2011 poll, 55% of Americans do not know that GOP stands for Grand Old Party (Time, October 17, 2011). Suppose that this result is true for the current population of Americans.
Find the probability that exactly 9 people in a random sample of 17 Americans do not know that GOP stands for Grand Old Party. Use the binomial probability distribution formula."
P=?

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

The formula and the number are


    P = C%5B17%5D%5E9%2A0.55%5E9%2A%281-0.55%29%5E%2817-9%29 = 24310%2A0.55%5E9%2A0.45%5E8 = 0.188256194 = 0.1883 (rounded) = 18.83%.    ANSWER

Solved.

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On binomial distribution, see these Internet sources

https://en.wikipedia.org/wiki/Binomial_distribution

https://www.itl.nist.gov/div898/handbook/eda/section3/eda366i.htm



For binomial distribution probability online calculator (free of charge), see this link

https://stattrek.com/online-calculator/binomial.aspx


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If you want to see many similar  (and different)  solved problems on binomial distribution probability,  look into the lessons
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After reading these lessons,  you will be able to solve such problems on your own,
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