Foodborne disease. A report by the World Health Organization on April 30, 2020 states that 40% of the foodborne disease victims in the world are children under five years of age, with 125,000 succumbing to them every year. Consider a sample of four victims of foodborne diseases and let x be the number of them below five years of age.

a. Explain why x is (approximately) a binomial random variable.

b. Give the probability distribution for x as a formula.

c. Find P1x = 32.

d. Find P1x 6 22.

e. In a random sample of 140 victims of foodborne disease, is it likely that 60 or more of them will be below five years of age? Explain.

f. If in a recent study a different organization found that only 20% of victims of foodborne disease are below five years of age, answer part a.–e. using p = .2.