Based on data from the Statistical Abstract of the United States, 112th Edition,

Question

Based on data from the Statistical Abstract of the United States, 112th Edition, only about 16% of senior citizens (65 years old or older) get the flu each year. However, about 24% of the people under 65 years old get the flu each year. In the general population, there are 12% senior citizens (65 years old or older). (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? (Use 3 decimal places.) (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? (Use 3 decimal places.) (c) Answer parts (a) and (b) for a community that has 86% senior citizens. (Use 3 decimal places.) (d) Answer parts (a) and (b) for a community that has 55% senior citizens. (Use 3 decimal places.)

Explanation / Answer

a) probability that a person selected at random from the general population is senior citizen who will get the flu this season=P(senior citizen)*P(gets flu|senior citizen)=0.12*0.16=0.0192

b)

probability that a person selected at random from the general population is a person under age 65 who will get the flu this year =P(under 65)*P(gets flu|under 65)=(1-0.88)*0.24=0.2112

c-a)

probability =0.86*0.16=0.1376

c-b) probability =(1-0.86)*0.24=0.0336

d-a)

probability =0.55*0.16=0.088

c-b) probability =(1-0.55)*0.24=0.108

please revert for any clarification

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