About 8.3% of the American population has diabetes (both Type I and Type II). A

ID: 2983480 • Letter: A

Question

About 8.3% of the American population has

diabetes (both Type I and Type II). A

combination of blood tests accurately diagnoses

the disease 99.3% of the time. The tests give

false positive results for 1.2% of people who do

not have the disease.

A. What is the probability that the blood tests

show that a person does not have the disease?

E. What is the probability that a person does not

have the disease, given that the test results were

positive?

16. An experiment consists of selecting one of

two urns and then removing a marble from the

urn. Urn I contains 19 violet marbles and 13

white marbles. Urn II contains 17 violet marbles

and 8 white marbles. Assume that the urns are

equally likely to be selected. Find each

probability:

E. The probability that the marble was selected

from Urn II, if it is known that a white marble

was selected.

16)E) P(u2|W) = P(U2 $ W)/P(W)

ans= (1/2*8/25)/[(1/2*13/32)+1/2*8/25)]

ans = 0.44

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