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The Reviews editor for a certain scientific journal decides whether the review for any particular book should be short 1 2 pages medium 3 4 pages or long 5 6 pages Data on recent reviews indicates that 60 of them are short 30 are medium and the other 10 are long Reviews are submitted in either Word or LaTeX For short reviews 80 are in Word whereas 60 of medium reviews are in Word and 40 of long reviews are in Word Suppose a recent review is randomly selected a What is the probability that the selected review was submitted in Word format b If the selected review was submitted in Word format what are the posterior probabilities of it being short medium or long Round your answers to three decimal places short medium long