Question

Sociologists say that 90% 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. (For each answer, enter a number. Round your answers to three decimal places.)

All of them dislike their mother-in-law.

None of them dislike their mother-in-law.

At least five of them dislike their mother-in-law.

No more than four of them dislike their mother-in-law.

Answer 1

Probability of dislike mother in law is 0.90, and their are 7, women in total.

So using Binomial distribution with n equal to 7, and p equal to 0.90

We have probability that r number of women dislike their mother in law is

All of them dislike their mother-in-law.

Required probability is 0.478

None of them dislike their mother-in-law.

Required probability is 0.000

At least five of them dislike their mother-in-law.

Required probability is 0.974

No more than four of them dislike their mother-in-law.

Required probability is 0.026