Men, who represent 60% of the driving population, have a reputation for not want
ID: 3291508 • Letter: M
Question
Men, who represent 60% of the driving population, have a reputation for not wanting so ask for directions whereas women are much more willing to seek directions when lost while driving. In a recent study by the Survey Research Company (SRC), it was found that 60% of women would stop to ask for driving direction while only 20% of men would ask for driving directions. Now suppose a randomly chosen driver gets lost on a road trip. What is the probability that the driver: (a) is a man who will stop and ask for directions? (b) will stop and ask for directions? (c) is either a male or stops and asks for directions? (d) is a male gives that the drive stops and asks for directions? (e) is a female if the driver did not ask for directions? (f) is not a man and will not stop and ask for directions?Explanation / Answer
3) probability =P(men)*P(ask direction|men) =0.6*0.2=0.12
b)probability =P(men)*P(ask direction|men)+P(women)*P(ask direction|women)=0.6*0.2+0.4*0.6=0.36
c)probability =P(male)+P(women)*P(ask direction|women) =0.6+0.4*0.6=0.84
d)P(male|ask direction) =0.6*0.12/0.36=1/3=0.3333
e)P(female|not ask direction)=0.4*(1-0.6)/(1-0.36)=0.16/0.64=0.25
f)probability =women and not stop for direction =0.4*(1-0.6)=0.16