The accompanying data represent the ideal number of children for a random sample of 900 adults. Complete parts(a) through(d) below.

x: (# of children): 0 1 2 3 4 5 6

y: Frequency: 10 30 518 255 67 18 2

(c) Compute and interpret the mean of the random variable X.

The mean is ___ children.

(Round to one decimal place asneeded.)

Which of the following interpretations of the mean iscorrect?

A.

If many adults weresurveyed, one would expect the mean ideal number of children to be the mean of the random variable.

B.

If any number of adults weresurveyed, one would expect the mean ideal number of children to be the mean of the random variable.

C.

The observed ideal number of children will be less than the mean ideal number of children for most adults.

D.

The observed ideal number of children will be equal to the mean ideal number of children for most adults.

(d) Compute the standard deviation of the random variable X.

The standard deviation is ______children.

(Round to one decimal place asneeded.)