The Reviews editor for a certain scientific journal decides whether the review f

Question

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 50% of them are short, 30% are medium, and the other 20% are long. Reviews are submitted in either Word or LaTeX. For short reviews, 70% are in Word, whereas 50% 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

Explanation / Answer

a|)probabilty that the selected review was submitted in word format =0.5*0.7+0.3*0.5+0.2*0.4=0.58

b)short=0.5*0.7/0.58=0.6034

medium=0.3*0.5/0.58=0.2586

long=0.2*0.4/0.58=0.1379

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.