In a group of college students, the ratio of men to women is 3:1 (i.e., 3...
In a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 65% of the men in this group selected hiking as their favorite outdoor activity whereas 50% of the women in the group selected hiking as their favorite outdoor activity. An individual is randomly selected from this group. What is the probability that hiking is not his/her favorite outdoor activity? Round your result to 2 significant places after the decimal (For example, 0.86732 should be entered as 0.87).
Homework Answers
P(Hiking is not his/ her favorite outdoor activity)
= P(Men)*P(Not hiking | Men) + P(Women)*P(Not Hiking | Women)
= (3/4)*(1 - 0.65) + (1/4)*(1 - 0.50)
= 0.3875
= 0.39
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