Question

With this contingency table

	Science	Business	Liberal Arts
Male	16	31	9
Female	21	13	11

Find these probabilities

P(Male) = ???          P(Science) = ???          P(Female or Business) = ???

Express all answers as fractions – do not simplify!

Answer 1

Given

N = (16+31+9+21+13+11) = 101

1)p(male) = (no of favorable cases of Male) /N

= ((16+31+9)/101

P(male) = 0.5545

2) p(science) = (no of favorable cases of science) /N

= (16+21)/101

P(Science) = 0.3663

3) p(female or business)

P(female) = (21+13+11)/101

P(female) = 0.4455

P(business) = (31+13)/101

P(business) = 0.4356

P(female and business) = 13/101

P(female and business) = 0.1287

P(female or business) = p(female) + p(business) -

P(female and business)

= 0.4455 +0.4356 - 0.1287

P(female or business) = 0.7524