Answer
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.
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