In a certain microwave oven on the high power setting, the time it takes a randomly chosen kernel of popcorn is normally distributed with a mean of 140 seconds and a standard deviation of 25 seconds. What percentage of the kernels will fail to pop if the popcorn is cooked for (a) 2 minutes? (b) 3 minutes? (c) if you wanted 95 percent of the kernels to pop, what time would you allow? (d) if you wanted 99 percent to pop?
The solution examines the normal distribution of microwave time on high power.