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Social ScienceConsider the probability that exactly 95 out of 160 computers will not crash in a day. Assume the probability that a given computer will not crash in a day is 62%.Approximate the probability using the normal distribution. Round your answer to four decimal places.
Consider the probability that exactly 95 out of 160 computers will not crash in a day. Assume the probability that a given computer will not crash in a day is 62%.
Approximate the probability using the normal distribution. Round your answer to four decimal places.
Expert Answer
Solution:
It is given that the probability that a given computer will not crash in a day is 0.62 and 95 out of 160 computers will not crash in a day.
Let the random variable X be the number of computer will not crash
Given that n=160 and p=0.62
Checking condition 1:
np=160(0.62)=99.2>5
The condition 1 was satisfied.
Checking condition 2:
n(1-p)=160(1-0.62)=60.8>5
The condition 2 also was satisfied.
The both conditions are satisfied so binomial distribution approximated to normal distribution.
The...
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