math question (statistics)

Question

Based on data from a statistical abstract, only about 15% of senior citizens (65 years old or older) get the flu each year. However, about 23% of the people under 65 years old get the flu each year. In the general population, there are 14.5% senior citizens (65 years old or older). (Round your answers to three decimal places.)

a. What is the probability that a person selected at random from the general population is senior citizen who will get the flu this season?

b. What is the probability that a person selected at random from the general population is a person under age 65 who will get the flu this year?

c. Repeat parts (a) and (b) for a community that has 94% senior citizens.

d. Repeat parts (a) and (b) for a community that has 46% senior citizens.

Answer 1

A. Probability that a person is a senior citizen = 0.145

Senior citizens that get the flu = 0.15

Probability that a senior citizen gets the flu = 0.145 x 0.15 = 0.02175

B. Probability that a person is not a senior citizen = 1 - 0.145 = 0.855

Non senior citizens that get the flu = 0.23

Probability of a non senior citizen with the flu = 0.855 x 0.23 = 0.19665

C. modify your population for 94% senior citizens (6% non senior citizens)

D. modify your population for 46% senior citizens (54% non senior citizens)

Please let me know if you require further assistance.

Alan