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Suppose a poll of 20 voters is taken in a large city. The purpose is to...

Suppose a poll of 20 voters is taken in a large city. The purpose is to determine the number who favor a certain candidate for mayor. Suppose that 60% of all the city’s voters favor the candidate. (a) Define the random variable and determine its type. (b) Find the probability that more than 15 voters favor the candidate. (c) Find the mean and standard deviation of the number of voters who favor the candidate.

Math   Statistics-And-Probability   
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Answer #1

N= 20

P(x) = 0.60

(a) Let x be the random variable:  number of voters in favor of the candidate.

x is a binomial variable.

(b) P(x>15)

more than 15 means, there can be 16, 17, 18, 19 or 20

i.e. P(x>15) = P(16)+P(17)+P(18)+P(19)+P(20)

P(x>15) = P(16)+P(17)+P(18)+P(19)+P(20) = 0.050951953194167

(c) Mean and standard deviation

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