Suppose a certain population of observations are normally distributed. What percentage of the observations in the population are within 1.5 standard deviations of the mean?
Events A1 , A2, and A3 are mutually exclusive and exhaustive events, with probabilities P(A1) = 0.20, P(A2) = 0.60, and P(A3) = 0.20. Given that P(B|A1) = 0.10, P(B|A2) = 0.50, and P(B|A3) = 0.40, calculate P(A3|B).
Answers to 4 decimal points.
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