Question

1. At a Midwestern University the 386 students in the Business School were classified according to their major within the business school and their gender. The results follow.

	Female	Male
Accounting	68	56	124
Administration	91	40	131
Economics	5	6	11
Finance	61	59	120
	225	161	386

1. Find the probability that the selected student is a finance major and a male.

b. Find the probability that the selected student is an administration major or a finance major.

c. Find the probability that the selected student is an administration major or a female.

d. Find the probability that the selected student is finance major, given he is a male.

Answer 1

Total number of students = 386

A) Number of students who are finance major and a male

= 59

So, probabality of the selected students finance major and male is

= Number of students who are finance major and male / total students

= 59 / 386

= 0.1528 or 15.28%

B)

probabality of the selected students administration major or finance major

= P( administration major or finance major )

= (131 +120) / 386

= 251 / 386

= 0.6502 or 65.02%

C)

P(administration major) = 131 / 386

P(female) = 225 / 386

P(administration major and female ) = 91/386

So, probabality that selected student is an administration major or a female

= P(administration major or female)

= P(administration major) + P(female) - P(administration major and female)

= (131/386) + (225/386) - ( 91/386)

= 265 / 386

= 0.6865 or 68.65%

D)

P(finance major and male) = 59 / 386

P(male) = 161 / 386

So, probabality that selected student is finance major,given he is a male

= P( finance major | male )

= P(finance major and male ) / P(male)

= 59/161

= 0.3664 or 36.64%