please show all work for questions below by microsoft word or excel..1) A country’s fertility rate can have a major long-term impact on its economic health. Low fertility rates eventually cause the av

please show all work for questions below by microsoft word or excel..

1) A country’s fertility rate can have a major long-term impact on its economic health. Low fertility rates eventually cause the average age of the population to skew higher, making it more difficult to fund programs such as social security. The following data represent a sample showing the of children from 10 families.

1  5  3  1  2  2  1  4  0  1

a. calculate the range.

b. calculate the variance.

c. calculate the standard deviation.

2) A survey was conducted in which 125 families were asked how many cats lived in their households. The results are as follows:

Number of Cats         Number of Households

0                                  76

1                                  32

2                                  12

3                                  3

4                                  2

Total:                         125

a. What is the probability that a randomly selected family has one cat?

b. What is the probability that a randomly selected family has more than one cat?

c. What is the probability that a randomly selected family has cats?

d. Is this an example of classical, empirical, or subjective probability?