The Reviews editor for a certain scientific journal decideswhether the review for any particular book should be short (1–2pages), medium (3–4 pages), or long (5–6 pages). Data on recentreviews indicates that 60% of them are short, 30% are medium, andthe other 10% are long. Reviews are submitted in either Word orLaTeX. For short reviews, 80% are in Word, whereas 40% of mediumreviews are in Word and 30% of long reviews are in Word. Suppose arecent review is 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 arethe posterior probabilities of it being short, medium, or long?(Round your answers to three decimal places.)
