3. - lected males using today's life expectancy statistics. The following histogram models the life-span of 100,000 randomly se- 4500.0 4000.0 3500.0 3000.0 2500.0 2000.0 1500.0 1000 500.0 0.0 A 5 10...

Extracted text: 3. - lected males using today's life expectancy statistics. The following histogram models the life-span of 100,000 randomly se- 4500.0 4000.0 3500.0 3000.0 2500.0 2000.0 1500.0 1000 500.0 0.0 A 5 10 15 20 25 30 35 40 45 s0 55 0 6 70 75 30 85 90 5 100 Age at time of death for 100,000 males For example, approximately 1,000 men would die at the age of 65. The mean lifes- pan for the male population is 79 years. The standard deviation for this population is 15 years. (a) What is the shape of the male life expectancy distribution? (b) Which is greater, the mean or the median? (c) Considering the histogram, do you think it's unusual for a male to live to over 86 years old? Why or why not? (d) What is the probability that, for a random sample of 36 males, their mean age of death will be greater than 86? Would this sample be considered unusual?