1. According to the 2009 National Surveyon Drug use and Health, among people age 12 or older who reported using pain reliever non-medically in the past year, 70% got the drugs from a friend or relative (either for free, purchased, or by theft) Another 18 percent reported getting the drugs from a one doctor. With the following numbers use the age groups listed to determine the meanto determine the targeted age group.

Male Female

12 15

13 16

14 18

15 19

16 21

17 24

18 26

19 30

22 32

23 36

24 39

25 42

28 44

30 47

32 49

37 51

40 53

43 56

50 60

A) What is the variancefor male?

B) What is the variance for female?

C) What is the targeted age group?

D) Graph the results of male and female variance

2.

The following are two competitors’ laboratories. Follow normal distribution.

Laboratory 1 the mean is $38,000 with a standard deviationof $13,000.

Laboratory 2 the mean is $56,000 with a standard deviation of $21,000.

a) What proportion of laboratory 1 is below the mean of laboratory 2?

b) What is the average earning of laboratory 1 showing 12% of cost?

c) What are the earning of laboratory 2 that shows the lowest of 7% of?

The solution provides step by step method for the calculation of mean, variance and normal probability. Formulas for the calculation and Interpretations of the results are also included.