A random sample of 80 lawyers was taken, and they were asked if they were in fav

Question

A random sample of 80 lawyers was taken, and they were asked if they were in favor or against capital punishment. Their responses are given in the contingency table. If one lawyer is randomly selected from this group, find the probability that this lawyer: Favor capital punishment Is a male given that he favors capital punishment Against capital punishment given that the lawyer is a female Is a female and favors capital punishment Against capital punishment or is a male A die is rolled once. Find the probability that the top face is an even number or greater than 3. In a hospital unit there are eight nurses and five physicians. Seven nurses and three Physicians are females. If a staff person is selected, find the probability that the subject is a nurse or a male. Given that A and B are two independent events. P(A) = .61 and P(B) = .27 Find P(A and B) = Find P(A) =

Explanation / Answer

a)

You have to find probability of favour capital punishment.

P( favour ) = number of favour/ total

=45/80

=0.5625

b)

P( favour | male)=number of favour male/total male

=32/56

=0.5714

c)

P(against| female)= number of against female /total of females

=11/24

=0.4583

d)

P( favour and female )=number of female favour/total

=32/80

=0.4

e)

P(against or male)=P(against)+P(male)-P(against and male)

=35/80 +56/80 -24/80

=67/80

=0.8375

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