(a)
The integral is .
The integral represents probability of the lifetime of the car tire.
The probability density function : .
.
The expression represents the probability of a randomly chosen tire which will have a lifetime between and miles.
(b)
The integral is .
The integral represents probability of the lifetime of the car tire.
.
The above expression represents that the probability that a randomly chosen tire will have a lifetime of at least miles.
(a) The probability that a randomly chosen tire will have a lifetime between and miles.
(b) The probability that a randomly chosen tire will have a lifetime of at least miles.
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