Question

If the probability is 0.75 that a person will believe a rumor about the crimes of...

If the probability is 0.75 that a person will believe a rumor about the crimes of a certain politician, find the probabilities that

a) Out of a set of 100 people, 60 will believe it

b) Out of a set of 100 people, 75 will believe it

Math   Statistics-And-Probability   
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Answer #1

We are given here that:
P( person will believe a rumor about the crimes of a certain politician) = 0.75

a) The probability that Out of a set of 100 people, 60 will believe it is computed here using the binomial probability function as:

Therefore 0.000363 is the required probability here.

b) The probability that Out of a set of 100 people, 75 will believe it is computed here using the binomial probability function as:

Therefore 0.0918 is the required probability here.

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