## Introductory Statistics 9th Edition

a. i. P(Yes) = $\frac{77+104}{506}$ =0.3577 ii.P(Yes|Woman) = $\frac{104}{104+119+34}$=0.4047 iii.P(Woman and NO) = $\frac{119}{506}$ = 0.2352 iv. P(No response or man) =$\frac{140+119}{506}$+$\frac{77+32+140}{506}$ - $\frac{140}{506}$ =0.7273 b. P(Yes) = 0.3577 P(Yes|Woman) = 0.4047 P(Yes|Woman) $\ne$ P(Yes) Yes and Woman are not independent. P(Yes and Woman) = $\frac{104}{506}$ = 0.2055 P(Yes and Woman) $\ne$ 0 , therefore they are not mutually exclusive.