Chapter 6, Problem 86CRE

Cremation Rates in Mississippi, Binomial and Empirical Rule Cremation rates have been increasing in the United States. Mississippi is the state with the lowest rate, which is $10\%.$ Suppose that we take a random sample of 900 deaths in Mississippi and that the decision to be cremated is made independently.

a. How many of the 900 decedents would you expect to be cremated?

b. What is the standard deviation for the number to be cremated?

c. According to the Empirical Rule, in $95\%$ of all samples of 900 deaths, the number cremated would vary between what two values?

d. In a random sample of 900, how many would you expect not to be cremated?

e. If 500 were cremated and 400 were not cremated, would 500 be a surprisingly large number of cremations?