Sociologists say that 85% of married women claim that their husband\'s mother is

Question

Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that twelve married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)     (a) all of them dislike their mother-in-law
         
    
    (b) none of them dislike their mother-in-law
         
    
    (c) at least ten of them dislike their mother-in-law
         
    
    (d) no more than nine of them dislike their mother-in-law
    

Explanation / Answer

dislike probability=0.85

like probability=1-0.85=0.15

p(0)+p(1)+...p(12)=1

a)all of them dislike their mother-in-law=(0.85)^12=0.142

b)none of them dislike their mother-in-law=(0.15)^12=1.297 *10^-10

c)at least ten of them dislike their mother-in-law=p(10)+p(11)+p(12)

=12C10 (0.85)^10(0.15)^2 + 12C11 (0.85)^11(0.15)^1 + 12C12(0.85)^12(0.15)^0

=0.736

d)no more than nine of them dislike their mother-in-law=p(0)+p(1)+....p(9)=1-p(10)-p(11)-p(12)=1-0.736=0.264

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