# Microwave Popcorn, normally distributed

The time to cook a bag of microwave popcorn is normally distributed with a mean of 3.5 minutes and a standard deviation of 0.6 minute.

Suppose that you randomly select a microwave popcorn bag from the sample. Use the given information and the distribution to answer each question. Explain your reasoning.

8. What percent of microwave popcorn bags will properly cook a timespan that is between 2.9 minutes and 4.1 minutes?

9. What percent of microwave popcorn bags will properly cook in a timespan that is more than 3.5 minutes?

10. What percent of microwave popcorn bags will properly cook in a timespan that is less than 2.3 minutes?

11. What percent of microwave popcorn bags will properly cook in a timespan that is more than 2.9 minutes?

12. What percent of microwave popcorn bags will properly cook a timespan that is between 4.7 minutes and 5.3 minutes?

https://brainmass.com/statistics/probability/microwave-popcorn-normally-distributed-633658

#### Solution Preview

The time to cook a bag of microwave popcorn is normally distributed with a mean of 3.5 minutes and a standard deviation of 0.6 minute.

Suppose that you randomly select a microwave popcorn bag from the sample. Use the given information and the distribution to answer each question. Explain your reasoning.

8. What percent of microwave popcorn bags will properly cook a timespan that is between 2.9 minutes and 4.1 minutes?

By the empirical rule approximately ...

#### Solution Summary

Using normal distribution with a bag of microwave popcorn, explanations are given for each answer. Step-by-step computations are shown.