Question

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

Data:

X(# of children) Frequency

0 9

1 31

2 532

3 242

4 67

5 17

6 2

A.) Construct a discrete probability distribution for the random variable x.

(Round to three decimal places as needed).

B.) Draw a graph of the probability distribution.

C.) Compute and interpret the mean of the random variable X.

The mean is ____ children. (Round to one decimal place as needed).

Which of the following interpretations of the mean is correct?

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

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

3.) If many adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable.

4.) If any number of adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable.

D.) Compute the standard deviation of the random variable X.

The standard deviation is ___ children

(Round to one decimal palce as needed.)

Answer 1

A)

x	P(x)
0	0.010
1	0.034
2	0.591
3	0.269
4	0.074
5	0.019
6	0.002

B)

P(x) 0.700 0.600 0.500 0.400 0.300 0.200 0.100 0.000 12345 P(x)

C)

The mean is =2.4

3.) If many adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable.

D)

The standard deviation is =0.8