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InterviewSolution
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18. Think About a Plan The numbers of paper clips per box in a truckload ofboxes are normally distributed, with a mean of 100 and a standard deviationof 5. Find the probability that a box will not contain between 95 and 105 clipsHow should you label the vertical lines on the graph of the normaldistribution?Which parts of the graph are not between 95 and 105 clips? |
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Answer» probability that a box will NOT contain from 95 to 105 clips=P(X>105 or X<95)=1- P(95<X<105)=1- P((95-100)/5 < (X -100)/5 < (105-100)/5)=1- P((-1 < (X -100)/5 < 1)=1- (P((X -100)/5 < 1) - P((X -100)/5 < -1))=1- (P((X -100)/5 < 1) - (1- P((X -100)/5 < 1)))=1- (2 * P((X -100)/5 < 1) - 1)=2 - 2 * P((X -100)/5 < 1)=2- 2 * 0.8413=0.3174 hence, 31.7% |
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