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Tires and Tread Life: Probability

APSTAT-BJNH7S

A certain type of tire's tread life is approximately normal with a mean of $42,000$ miles and standard deviation of $3000$ miles.

The shaded area in the figure below represents which of the following probabilities?

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A

The probability the tread life of this type of tire is between $36000$ miles and $45000$ miles.

B

The probability the tread life of this type of tire is between $36000$ miles and $48000$ miles.

C

The probability the tread life of this type of tire is between $39000$ miles and $45000$ miles.

D

The probability the tread life of this type of tire is between $39000$ miles and $48000$ miles.

E

The probability the tread life of this type of tire is between $39000$ miles and $51000$ miles.