In the following probabilitydistribution, the random variable X represents the number of activities a parent 6th- to 8th-grade student is involved in. Complete parts below.

x

0

1

2

3

4

P(x)

0.085

0.241

0.163

0.184

0.327

Compute and interpret the mean of the random variable X. The means is how many activities? (Round to one decimal place)

Which of the following interpretations of the mean iscorrect?

A.The observed value of an experiment will be less than the mean of the random variable in most experiments.

B.As the number of experimentsincreases, the mean of the observations will approach the mean of the random variable.

C.As the number of experimentsdecreases, the mean of the observations will approach the mean of the random variable.

D.The observed value of an experiment will be equal to the mean of the random variable in most experiments.

Compute the standard deviation of the random variable X.

The standard deviation is how many activities? (round to one decimal place)

What is the probability that a randomly selected student has a parent involved in threeactivities? (Integer or Decimal_

What is the probability that a randomly selected student has a parent involved in three or fouractivities? (Integer or decimal)