Refer to the following information:The National Census Bureau categorizes the age distribution of the US Population into 4 categories:

Age Group

Under 18

18 to 44

45 to 64

65 or older

According to their data, the mean age in 2010 for the state of Florida was 45.2 years of age with a variance of 306.25. Assume that the distribution of age can be reasonably assumed to follow a normal distribution. Show Work

If a person from Florida is randomly selected, what is the probability that the person is not 65 or older?

a.0.13

b.0.5

c.0.37

d.0.87

e.0.90

The state of Florida is considering a new program to improve transportation benefits for individuals who are in the oldest 10% of the state population. Based on the assumptions of this problem, what would be the minimum eligible age for such benefits?

a.22.8

b.67.6

c.75

d.89

e.65