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# New Tire Probability

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You buy 4 new tires. Each tire has a 0.9 probability of having a life of at least 60,000 miles.

a) Find the probability you WILL NOT have to buy a new tire BEFORE you drive 60,000 miles.

b) Find the probability you WILL have to replace all 4 tires BEFORE you drive 60,000 miles.

c) Find the probability you will have to replace 2 of the 4 tires BEFORE you drive 60,000 miles.

##### Solution Summary

The solution addresses the probability involved in the lifespan of a tire.

##### Solution Preview

From the condition, one tire has a probability of 0.9 of having a good life.
<br>(a) The probability you WILL NOT have to buy a new tire BEFORE you drive 60,000 miles means all the 4 tires keep ...

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