PA $9-4($Algo$)$ Consider again that the company making tires for...

Consider again that the company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of $22\mathrm{.}5$ millimeters and an upper specification limit of $22\mathrm{.}7$ millimeters. The standard deviation is $0\mathrm{.}17$ millimeters and the mean is $22\mathrm{.}60$ millimeters.

a$.$ What is the probability that a tire will be too narrow?

Note: Round your answer to $4$ decimal places.

Probability

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b$.$ What is the probability that a tire will be too wide?

Note: Round your answer to $4$ decimal places.

Probability $$

c$.$ What is the probability that a tire will be defective?

Note: Round your answer to $3$ decimal places.

Probability