To pass a test, you must correctly answer at least 10 of the 20 questions. You h

Question

To pass a test, you must correctly answer at least 10 of the 20 questions. You have studied enough so that you can correctly answer any one question with probability p.  Assume that questions are drawn independently from a common pool, so that the probability of a correct answer is the same for every question, but answering one question correctly makes it no more or less likely that you answer another correctly.

a. Find the probability that you pass the exam if p = .5

b. Find the probability that you pass the exam if p = .6

c. Find the probability that you pass the exam if p = .7

Can you try to explain what you did or what method you used thanks!

Explanation / Answer

first we have to choose 10 qes which we definitely wants to correct, by the method 20C10 are total no of ways in which 10 qes could be correct they these all should be simultaneously correct with prob .5 and this could go on for each combination needed to pass

similarly

P(10<= x <=20) = 1 - binomcdf(20, .6, 10)

similarly

P(10<= x <=20) = 1 - binomcdf(20, .7, 10)

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