Question

Sociologists say that 85% 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 eleven 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 nine of them dislike their mother-in-law.

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

Please provide explanation and correct answer

Answer 1

Sample size , n =    11
Probability of an event of interest, p =   0.85

Binomial probability is given by

P(X=x) = C(n,x)*px*(1-p)(n-x)

a)

P ( X =    11   ) = C(11,11) * 0.85^11 * (1-0.85)^0 =            0.167 (answer)

b) P ( X =    0   ) = C(11,0) * 0.85^0 * (1-0.85)^11 =            0.000 (answer)

c) P(X≥9) = P(X=9) + P(X=10) + P(X=11) = 0.779
d) P(X≤8) = ΣC(n,x)*p^x*(1-p)^(n-x) where x goes from 0 to 8 = 0.221

please revert for doubt..