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Consider the probability that more than 94 out of 153 computers will not crash in a...

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 % .

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Answer #1

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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