STATS HW---- Sociologists say that 90% of married women claim that their husband

Question

STATS HW---- 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 twelve 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 ten of them dislike their mother-in-law

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

Explanation / Answer

p = 0.1

n = 12

P(X = x) = 12Cx * 0.9x * (1 - 0.9)12-x

a) P(X = 12) = 12C12 * 0.912 * 0.10

                    = 0.2824

b) P(X = 0) = 12C0 * 0.90 * 0.112

                  = 0.0000

c) P(X > 10) = P(X = 10) + P(X = 11) + P(X = 12)

                    = 12C10 * 0.910 * 0.12 + 12C11 * 0.911 * 0.11 + 12C12 * 0.912 * 0.10

                    = 0.8891

d) P(X < 9) = 1 - P(X > 10)

                  = 1 - 0.8891

                  = 0.1109

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