(Answered) The lifetime of a particular type of light bulb are

Statistics

The lifetime of a particular type of light bulb are approximately normally distributed with a mean of 1200 hours and a standard deviation of 140 hours.

a) Find the probability that a randomly chosen bulb will burn longer than 1400 hours.

b) Find the probability that a randomly chosen bulb will last between 1000 and 1050 hours

c) Twenty percent of the lightbulbs have a lifetime of less than what value?

d) At what number of hours should the warranty lifetime be set so that only 2% of bulbs must be replaced under warranty?

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