A pollster surveyed 100 people about watching the TV show The big bang theory\".

Question

A pollster surveyed 100 people about watching the TV show The big bang theory". The results of the poll are shown in the table. (a) What is the probability of a randomly selected individual is a male and watching the show? (b) What is the probability of a randomly selected individual is a male? (c) What is the probability of a randomly selected individual watches the show? (d) What is the probability of a randomly selected individual watches the show, given that the individual is a male? (e) What is the probability that a randomly selected individual watching the show is a male?

Explanation / Answer

(a)

Out of 100 people, 19 individual are male and watching a show so

P(Male and Yes) = 19 /100 = 0.19

(b)

Out of 100 people, 60 individual are male so

P(Male) = 60 /100 = 0.60

(c)

Out of 100 people, 31 individual watches show so

P(Yes) = 31 /100 = 0.31

(d)

Out of 60 males, 19 are watches television so

P(yes | male) = 19 /60

(e)

Out of 31 individuals watching show, 19 are male so

P(male| yes) = 19 /31

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