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(1) Consider the probability distribution shown below. x 0 1 2 P ( x ) 0.75 0.20 0.05 Compute the expected value of the distribution.

(1) Consider the probability distribution shown below.

x 0 1 2
P(x) 0.75 0.20 0.05

Compute the expected value of the distribution. (Enter a number.) Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.)

(1a) 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. (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 ten of them dislike their mother-in-law. (d)No more than nine of them dislike their mother-in-law.

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