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Sociologists say that 95% of married women claim that their husband\'s mother is

ID: 3175796 • Letter: S

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 eleven 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 nine of them dislike their mother-in-law

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

Explanation / Answer

Answers to the question parts are below:

We have been given params of binomial dist, p = .95 and n = 11

p( biggest bone) = .95

a. P(X=11) = 11C11(.95^11)(1-.95)^0 = .5688

b. P(X=0) = 1- P(X=11) = 1-.5688 = .4312

c. P(X>=9) = 0.9848

d. P(X<=8) = 1-P(X>=9) = 1-.09848 = 0.0152

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