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(b) Number of coin tosses until heads occurs. not a binomial random variable (c)

ID: 3226485 • Letter: #

Question

(b) Number of coin tosses until heads occurs. not a binomial random variable (c) Number of correct answers on a multiple choice test with 20 questions when guessing and there are 5 choices for each question. binomial random variable (d) Number of people that are red-green color blind in a random selection of 100 people. binomial random variable A club with 29 members is voting on a proposal. A group of 5 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 48% in favor of the proposal. What are the chances that the proposal will get the majority vote.

Explanation / Answer

Solution:-
Binomial Problem with n = 24 ; p(in favor) = 0.48 ; p(not favor) = 0.52
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Need 10 of the 29 to vote in favor.
P(x = 10) = 24C10(0.48)^10*(0.52)^14 = binompdf(24,0.48,10) = 0.1345