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Microwave Popcorn, normally distributed

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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?

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Solution Summary

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

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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 provided by:
J Pye, MSc
Education
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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