I need help with the blank portions of this stats problem An

I need help with the blank portions of this stats problem. Any assistance would be appreciated, it should be fairly simple.

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 0.9 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 0.4 instead of 0.9? (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 .

Solution

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 received) = .
1 - binomcdf(2,.8,0) = .9600


For topic B, P(at least half received) = .
1 - binomcdf(4,.8,1) = .9728


Therefore, the student should choose topic B . .
Choose topic B

Which topic should the student choose if the arrival probability is only 0.5 instead of 0.8? (Enter your answers to four decimal places.)


For topic A, P(at least half received) = .
1 - binomcdf(2,.5,0) = .7500


For topic B, P(at least half received) = .
1 - binomcdf(4,.5,1) = .6875


Therefore, the student should choose ---Select--- topic A topic B
Choose topic A