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, 709h are in word whereas G09 of medium reviews are in word and 3096 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 probabiliies of it being short, medium, or long? (Round your answers to three decimal places.) shorL mediurm long

Explanation / Answer

a)
P(word)=0.5*0.7+0.3*0.6+0.2*0.3=0.59

b)
P(short | word)=(0.5*0.7)/0.59=0.593
P(medium | word)=(0.3*0.7)/0.59=0.305
P(long | word)=(0.2*0.3)/0.59=0.102

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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