Melanoma deaths. According to the American Cancer Society, melanoma, a form of skin cancer, kills 15% of Americans who suffer from the disease each year. Consider a sample of 20,000 melanoma patients.

a. What are the expected value and variance of x, the number of the 20,000 melanoma patients who will die of the affliction this year?

b. Find the probability that x will exceed 3,100 patients per year.

c. Would you expect x, the number of patients dying of melanoma, to exceed 4,500 in any single year?

Explain.