Answer:
Step-by-step explanation:
(let's assume that people are either classified as man or woman)
m=man
b=buy
a
a.) we are looking for b
we are given
m'=.4
b|m'=.37
b|m=.21
b=b∩m+b∩m'
b∩m= (1-.4)(.21)
b∩m'=.4*.37
b= .274
b.) we are looking for m'|b
m'|b= m'∩b/b
m'∩b=.4*.37
b= .274
m'|b=.540145985
c.)
m|b'= m∩b'/b'
m=m∩b'+m∩b (law of total probability)
.6=m∩b'+.6*.21
m∩b'=.474
.474/(1-.274)= .652892561985