In: Statistics and Probability
A. Suppose that, for a particular type of cancer, chemotherapy provides a 5-year survival rate of 72%.
Among 20 patients diagnosed to have this form of cancer who are just starting the chemotherapy,
find the probability that at least 15 of them survive at 5-years or longer. Round answer to 3 significant
digits.
B. A home insurance company charges $2500 for the insurance policy. The policy only covers two
kinds of claims -- minor and large. Eight percent of homeowners will file a minor claim. When this
happens the insurance company pays out $10,000. Only 1% of the population will make a large
claim. When that happens the insurance company has to pay out $150,000. What is the expected
value of this policy to the insurance company?
C. The heights of National Basketball Association (NBA) players are normally distributed with a mean of
79” (6’7”) and a standard deviation of 3.89 inches. What heights delineate the middle 80% of NBA
players? Round your answer to the nearest inch.