A student who is trying to write a paper for a course has a choice of two topics
ID: 3310443 • Letter: A
Question
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is 0.8 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? (Enter your answers to four decimal places.) For topic A, P(at least half recelved)8 For topic B, P(at least half received)-718 Therefore, the student should choose topic A Which topic should the student choose if the arrival probability is only 0.6 instead of 0.8? (Enter your answers to four decimal places.) For topic A, Pat least half recelved)6 For topic B, P(at least half received)- Therefore, the student should choose topic BExplanation / Answer
let x be the no. of books arrived. p=0.8
P(A) = 1 - (0.2)2 = 0.96
P(B) = (0.8)4 + 4*(0.8)3*(0.2) + 6*(0.8)2*(0.2)2 = 0.8346
Therefore, the student should choose B.
P(A) = 1 - (0.4)^2 = 0.84
P(B) = (0.6)^4 + 4*(0.6)^3*(0.4) + 6*(0.6)^2*(0.4)^2 = 0.8208
Therefore, the student should choose A.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.