Probability Distributions 23

2010-11-26 2:10 am
please help me to slove this question, thz

The average life of a certain type of small motor is 10 years with a standard deviaton of 2 years. The manufacturer replaces free all motors that fall while under guarantee. If he is willing to replace only 3% of the motors that fail, how long a guarantee should he offer? Assume that the lives of the motors follow Normal distribution.

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回答 (1)

2010-11-26 5:01 am
✔ 最佳答案
3% corresponds to a z-score of -1.881If the guarantee period is N years then (N-10)/2 ≤ -1.881=>N ≤ 6.24The manufacturer should offer a guarantee period of less than 6.24 years


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