A student who is trying to write a paper for a course has a choice of two topics

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 0.7 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 received) = For topic B, P(at least half received) = Therefore, the student should choose | topic B . Which topic should the student choose if the arrival probability is only 0.6 instead of 0.7? (Enter your answers to four decimal places.) For topic A, P(at least half received) = For topic B, P(at least half received) = Therefore, the student should choose | topic A

Explanation / Answer

for P=0.7,

for topic A, P( atleast half received)=0.91

for topic B, P( atleast half received)=0.9163

for P=0.6,

for topic A, P( atleast half received)=0.84

for topic B, P( atleast half received)=0.8208

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