Question

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 ten 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.)

(a) All of them dislike their mother-in-law.

(b) None of them dislike their mother-in-law.

(c) At least eight of them dislike their mother-in-law.

(d) No more than seven of them dislike their mother-in-law.

Answer 1

The number of women who dislike their mother in law is modelled here as:

a) Probability that all of the 10 women dislike their mother-in-law is computed here as:

= 0.95¹⁰

= 0.5987

Therefore 0.5987 is the required probability here.

b) The probability that none of them disliked their mother in law is computed here as:

= (1 - 0.95)¹⁰

= 0.05¹⁰

Therefore 0.05¹⁰ is the required probability here.

c) Probability that at least eight of them dislike their mother-in-law is computed here as:

therefore 0.9885 is the required probability here.

d) The probability that No more than seven of them dislike their mother-in-law is computed here as:

Therefore 0.0115 is the required probability here.