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?
______________

Question

Quizplus · Accepted Answer

The Answer of 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? ______________

A Sample Is Selected from One of Two Populations, S1

A Sample Is Selected from One of Two Populations, S₁