SOLUTION: Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancelations on different days are independent. (a) There are 15 classes left this semes

Question 1074240: Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancelations on different days are independent.
(a) There are 15 classes left this semester. Compute the probability that at least 4 of them get canceled.
(b) Compute the probability that the tenth class this semester is the third class that gets canceled.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancellations on different days are independent.
Binomial Problem with p = 0.05 and n = 15
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(a) There are 15 classes left this semester. Compute the probability that at least 4 of them get canceled.
P(4<= x <=15) = 1 - P(0<=x<=3) = 1 - binomcdf(15,0.05,3) = 0.0055
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(b) Compute the probability that the tenth class this semester is the third class that gets canceled.
P(2 cancelled in 1st 9) = binompdf(9,0.05,2) = 0.0629
Then P(10th class cancelled) = 0.05
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Ans:: P(condition) = 0.0629*0.05 = 0.0031
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Cheers,
Stan H.
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