# Question

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

(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?

x .... P(x)

0 .... 0.073

1 .... 0.117

2 .... 0.258

3 .... 0.322

4 .... 0.230

(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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