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A Sample Is Selected from One of Two Populations, S1

Question 72

Short Answer

A sample is selected from one of two populations, S1 and S2, with probabilities P(S1) = 0.80 and P(S2) = 0.20. If the sample has been selected from S1, the probability of observing an event A is P(A / S1) = 0.15. Similarly, If the sample has been selected from S2, the probability of observing A is P(A / S2) = 0.25.
Round your answer to four decimal places, if necessary
a. If a sample is randomly selected from one of the two populations, what is the probability that event A occurs?
______________
If a sample is randomly selected and event A is observed, what is the probability that the sample was selected:
b. From population S1?
______________
c. From population S2?
______________

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a. 0.17; b...

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