## Introductory Statistics 9th Edition

a. i. P(man) = $\frac{300}{600}$ = 0.5 ii. P(No) = $\frac{168}{600}$ = 0.28 iii. (Yes | woman ) = $\frac{106}{300}$ = 0.3533 iv. (man | no opinion) = $\frac{58}{128}$ = 0.4531 b. They are not mutually exclusive. c. Not independent.
b. They are not mutually exclusive. P(men) ∩ P(yes) = $\frac{74}{600}$ =$0.1233\ne 0$, therefore they are not mutually exclusive. c. P(men) = 0.5 P(men|no) = $\frac{168}{292}$ = 0.5753 $P(men)\ne P(men|no)$ , therefore they are not independent.