Question

Sociologit;ts say that 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 nine 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-inlaw,
(c)Atleast,7 of them dislike their mother-in-law.
(d)No more than 6 of them dislike their in mother-in-law

Answer 1

To calculate the probabilities, we use the principle of independence and multiply or add individual probabilities. However, since we don't have the specific probabilities of liking or disliking the mother-in-law, we cannot provide exact answers.

Step-by-step explanation:

The probability of all nine married women disliking their mother-in-law can be calculated using the principle of independence. Since each woman's opinion is independent of the others, we can multiply the probabilities together.

(a) P(All of them dislike their mother-in-law) = P(Disliking mother-in-law) x P(Disliking mother-in-law) x ... x P(Disliking mother-in-law)

Given that the probability of disliking the mother-in-law is not provided, it's impossible to calculate the exact probability.

(b) P(None of them dislike their mother-in-law) = P(Liking mother-in-law) x P(Liking mother-in-law) x ... x P(Liking mother-in-law)

The same issue occurs here since we don't have the probability of liking the mother-in-law.

(c) P(At least 7 of them dislike their mother-in-law) can be calculated by finding the complement of P(None of them dislike their mother-in-law) and P(Exactly 6 of them dislike their mother-in-law).

(d) P(No more than 6 of them dislike their mother-in-law) can be found by summing up the probabilities of P(None of them dislike their mother-in-law) to P(Exactly 6 of them dislike their mother-in-law).