Question: 1. A conditional probability is the probability of one event, given that another (/) = () / () Based on the table below: GENDER PRO-VACCINATION

1. A conditional probability is the probability of one event, given that another (/) = () / () Based on the table below:

GENDER PRO-VACCINATION ANTI-VACCINATION TOTAL
MALE 30 90 120
FEMALE 8 72 80
TOTAL 38 162 200

a) What percentage of persons are in favour of (pro-vaccination) vaccination ?

b) What is the probability that a person chosen at random is female?

c) Find the probability that a person is female given that they are anti-vaccination

d) Given that a person is pro-vaccination ,what is the probability that the person is male?

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