Assume that, among residents of a large (over 6,000) Florida subdivision, the population mean age is 65 years old, the population standard deviation is 2 years, and that the age variable is distributed normally.

a. What is the probability that a randomly chosen individual would be between 64 and 66 years of age? Show how you standardized the problem.

b. What is the probability that a randomly chosen individual would be less than 62 years of age? Show how you standardized the problem.

c. Find the specific age for which the following statement is true:The probability of being this age, or younger, is 40%. Show your calculation.

d.

a. This question is a continuation of question #2. What is the probability that a sample mean calculated from a sample of 100 individuals from the Florida subdivision will have an average age between 64 and 66 years of age. As in question #2, the mean age of the population is 65 years of age, and the standard deviation is 2 years. For this problem, be sure to use the z-calculation that is for sample means, and includes the sample size: Z= (x- u)/(o/vn ). It is important that you understand why you use this expression here. Note that "n" is sufficiently large that the likelihood of the sample being between 64 and 66 years of age is very high! Show your work