Question 280325: For a student to pass a particular course they must pass at least 8 out of 10 tests. For each test the probability of the student passing is 0.88. Determine the probability that the student:
a) passes exactly 8 out of 10 tests.
b) passes the course.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For a student to pass a particular course they must pass at least 8 out of 10 tests. For each test the probability of the student passing is 0.88. Determine the probability that the student:
a) passes exactly 8 out of 10 tests.
Binomial Problem with n = 10, p = 0.88, x = 8
Ans: P(x=8) = 10C8(0.88)^8(0.12)^2 = binompdf(10,0.88,8) = 0.233
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b) passes the course: 8<= x <=10
Ans:: 1-binomcdf(10,0.88,7)
= 1 - 0.1087
= 0.8913
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Cheers,
Stan H.
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