. Parental Involvement In the following probability distribution, the random variable X

Chapter 6, Problem 18

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. Parental Involvement In the following probability distribution, the random variable X represents the number of activities a parent of a 6th- to 8th-grade student is involved in. x P(x) 0 0.073 1 0.117 2 0.258 3 0.322 4 0.230 Source: U.S. National Center for Education Statistics (a) Verify that this is a discrete probability distribution. (b) Draw a probability histogram. (c) Compute and interpret the mean of the random variable X. (d) Compute the standard deviation of the random variable X. (e) What is the probability that a randomly selected student has a parent involved in three activities? (f ) What is the probability that a randomly selected student has a parent involved in three or four activities?

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