Question: In a certain microwave oven on the high power setting, the time it takes a randomly chosen kernel of popcorn to pop is normally distributed

In a certain microwave oven on the high power setting, the time it takes a randomly chosen kernel of popcorn to pop is normally distributed with a mean of 140 seconds and a standard deviation of 25 seconds.

(a)What percentage of the kernels will fail to pop if the popcorn is cooked for 2 minutes?(Round your answer to 2 decimal places.)

Two minutes%

(b)What percentage of the kernels will fail to pop if the popcorn is cooked for 3 minutes?(Round your answer to 2 decimal places.)

Three minutes%

(c)If you wanted 95 percent of the kernels to pop, what time would you allow?(Round your answer to 3 decimal places.)

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