A flu epidemic hits a large city. each resident of the city, Ask an Expert

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A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:

A = AGE

0-10 10-30 Over 30

WELL .65 .58 .60

SICK .10 .20 .30

CARRIER .25 .22 .10

The population of the city is distributed by age and gender in the following matrix: B = MALE FEMALE

AGE 0-10 62,000 71,000

10-30 114,000 132,000

Over 30 223,000 251,000

a) Compute the matrix AB What do the elements of the matrix represent?

b) How many female carriers are there?

c) How many sick males are there?

d) How many sick females are there?

e) How many female carriers are there?

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