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 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.

Answer 1

Let X be the random variable denoting the number of married women who dislike their mother-in-law

X ~ Bin( n = 11 , p = 0.9)

(a)The probability that All of them dislike their mother-in-law

P(X = 11)

= 0.314

(b)The probability None of them dislike their mother-in-law

P(X = 0)

= 0

(c)The probability At least nine of them dislike their mother-in-law

= 0.910

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

= 0.090

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