Sociologists say that 95% 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 seven 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 five of them dislike their mother-in-law
(d) no more than four of them dislike their mother-in-law
The number of women out of 7 who dislikes their mother in law is modelled here as:
a) The probability here is computed as:
= 0.957
= 0.6983
Therefore 0.6983 is the required probability here.
b) Probability that none of them dislike their mother in law is computed as:
(1 - 0.95)7
= 0.00000000078125 is the required probability here.
c) Probability that at least five of them dislike their mother-in-law is computed here as:
= Probability that 5 , or 6 or 7 dislikes their mother in law
Therefore 0.9962 is the required probability here.
d) Probability that no more than 4 dislike their mother in law is computed here as:
Therefore 0.9962 is the required probability here.
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