Consider the probability that more than 94 out of 153 computers will not crash in a day. Assume the probability that a given computer will not crash in a day is 56 % .
Mean = 153*0.56 = 85.68
Standard deviation =
= 6.14
Hence,
P(More than 94)
= P(X > 94.5) [Continuity Correction]
= P(z > (94.5 - 85.68)/6.14)
= P(z > 1.44)
= 0.0754
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