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 ten 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 eight of them dislike their mother-in-law

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

Answer 1

Let Event E: A random maried woman dislike her mother-in-law
P(E) = 0.90
Let X be the random variable that denotes the number of women who dislike their mother-in-law
Then:

n=10 is the number of bernoulli trials and p=0.90 is the probability of success.

(a)
All of 10 women dislike their mother-in-law.

P(X=10) =
(b)
None of the 10 women dislike their mother-in-law.
P(X=0) =
(c)
at least eight of them dislike their mother-in-law





(d)
no more than 7 of them dislike their mother-in-law