A cereal-packaging company fills boxes on average with 40 oz of cereal. Due to machine error, the actual volume is normally distributed with a standard deviation of
0.3 oz. Let be the probability of a box having more than 41 oz. Express as an integral of an appropriate density function and compute its value numerically.

Question

A cereal-packaging company fills boxes on average with 40 oz of cereal. Due to machine error, the actual volume is normally distributed with a standard deviation of
0.3 oz. Let  be the probability of a box having more than 41 oz. Express  as an integral of an appropriate density function and compute its value numerically.

Quizplus · Accepted Answer

The Answer of A cereal-packaging company fills boxes on average with 40 oz of cereal. Due to machine error, the actual volume is normally distributed with a standard deviation of
0.3 oz. Let  be the probability of a box having more than 41 oz. Express  as an integral of an appropriate density function and compute its value numerically.

A Cereal-Packaging Company Fills Boxes on Average with 40 Oz