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The tread life (x)  of tires follow  normal distribution with µ =  60,000 and σ= 6000 miles.  The manufacturer guarantees the...

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Statistics

The tread life (x)  of tires follow  normaldistribution with µ =  60,000 and σ= 6000miles.  The manufacturer guarantees the tread life forthe first 52,000 miles. (i) What proportion of tireslast  at least 55,000 miles? (ii)  Whatproportion of the tires will need to be replaced under warranty?(iii)  If you buy 36 tires,  what is theprobability that the  average life of your 36 tires willexceed  61,000?  (iv) The manufacturer iswilling to replace only 3% of its tires under a warranty programinvolving tread life.  Find the tread life covered underthe warranty.

Answer & Explanation Solved by verified expert
3.8 Ratings (390 Votes)
Part aP X 55000 1 P X 55000 Standardizing the valueZ 55000 60000 6000Z 083P Z 083 P X 55000 1 P Z 083 P X 55000 1 02033P X 55000 07967Part vWhat    See Answer
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