(c) If the standard deviation remains at 0.5 ounce, what must the mean weight be for the company to state that 99.9% of its shoes weighs less than 13 ounces?

MATLAB: An Introduction with Applications
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Answer c only
4-85. The weight of a sophisticated running shoe is normally
distributed with a mean of 12 ounces and a standard deviation
of 0.5 ounce.
(a) What is the probability that a shoe weighs more than
13 ounces?
(b) What must the standard deviation of weight be in order for
the company to state that 99.9% of its shoes weighs less
than 13 ounces?
(c) If the standard deviation remains at 0.5 ounce, what must
the mean weight be for the company to state that 99.9% of
its shoes weighs less than 13 ounces?
Transcribed Image Text:4-85. The weight of a sophisticated running shoe is normally distributed with a mean of 12 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a shoe weighs more than 13 ounces? (b) What must the standard deviation of weight be in order for the company to state that 99.9% of its shoes weighs less than 13 ounces? (c) If the standard deviation remains at 0.5 ounce, what must the mean weight be for the company to state that 99.9% of its shoes weighs less than 13 ounces?
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