Need help with a probability problem

Klynn85

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May 15, 2009
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Hi I was wondering if anyone could help me with this problem.

Only about 14% of senior citizens get the flu each year. However, about 24% of people under 65 years old get the flu each year. The general population consists of 12.5% senior citizens.

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

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?

I'm really stuck on this one so any help would be greatly appreciated.
 
Assume the population consists of 1000 000 people

NUMBER OF SENIOR CITIZENS = 125,000
number of senior citizens with flu is 14.5% of 125,000 = 18,125
number of seniors without flu= 106,875

number of non seniors= 87.5% of 1000000= 875,000 people
non seniors with flu= 210,000
non seniors without flu=665,000

A) senior with flu= 18,125/1000000
senior with flu= .018125 or 1.81%

B) non senior with flu= 210,000/1000000
non senior with flu= .21 or 21%

please check the math. I have been making errors.
Arthur
 
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