In the following probability distribution, the random variable x represents the number of activities a parent of a

K

to

5th-grade

student is involved in. Complete parts (a) through (f) below.

x	0	1	2	3	4
P(x)	0.128	0.126	0.328	0.172	0.246

Question content area bottom

Part 1

(a) Verify that this is a discrete probability distribution.

This is a discrete probability distribution because the sum of the probabilities is

enter your response here

and each probability is

greater than or equal to 0.

between 0 and 1, inclusive.

greater than 0 and less than 1.

less than or equal to 1.

(b) Compute and interpret the mean of the random variable x.

The mean is

enter your response here

activities.

(Round to one decimal place as

needed.)

(c) Compute the standard deviation of the random variable x.

The standard deviation is

enter your response here

activities.

(Round to one decimal place as needed.)

(d) What is the probability that a randomly selected student has a parent involved in three activities?

The probability is

enter your response here.

(Type an integer or a decimal.)

(e) What is the probability that a randomly selected student has a parent involved in three or four activities?

The probability is

enter your response here.