The Reviews editor for a certain scientific journal decideswhether the review for any

Chapter 2, Problem 64

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The Reviews editor for a certain scientific journal decideswhether the review for any particular book should be short(12 pages), medium (34 pages), or long (56 pages). Dataon recent reviews indicates that 60% of them are short, 30%are medium, and the other 10% are long. Reviews are submittedin either Word or LaTeX. For short reviews, 80% arein Word, whereas 50% of medium reviews are in Word and30% of long reviews are in Word. Suppose a recent reviewis randomly selected.a. What is the probability that the selected review was submittedin Word format?b. If the selected review was submitted in Word format,what are the posterior probabilities of it being short,medium, or long?

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