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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Definitions:

Non-Current Liability

Long-term financial obligations listed on a company's balance sheet, not due within one year.

Deferred Revenue

Income received by a company for goods or services yet to be delivered or performed.

Mortgages Payable

Long-term liabilities representing money a company owes on property mortgages that are due beyond the next year.

Periodic Instalment

Periodic installment refers to a regular, scheduled payment made over time towards settling a debt, which may include portions of both principal and interest.