10. 14 points DevoreStat9 2.E.064. My Notes Ask Your Teacher The Reviews editor

Question

10. 14 points DevoreStat9 2.E.064. My Notes Ask Your Teacher 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 40% of them are short, 30% a e medium and the other 30 are long Rev e are submitted in e er or or aTe For short reviews, 60% are in Word, whereas 50% of medium reviews are in word and 20% 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 Need Help? Read It Talk to a Tutor

Explanation / Answer

a)P(word) =P(short and in word+medium and in word+long and in word)==0.4*0.6+0.3*0.5+0.3*0.2=0.45

b)P(short) =P(short and in word)/P(word) =0.4*0.6/0.45=0.5333

P(medium) =P(medium and in word)/P(word) =0.3*0.5/0.45=0.3333

P(long) =0.3*0.2/0.45 =0.1333

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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