The light bulbs produced by a generic manufacturer have a stated average life of 1,146 hours . Assume that the lifetimes of the bulbs are normally distributed with a standard deviation of 100 hours ....

The light bulbs produced by a generic manufacturer have a stated average life of 1,146 hours . Assume that the lifetimes of the bulbs are normally distributed with a standard deviation of 100 hours . Find the probability that a light bulb from this manufacturer will last longer than 1,271 hours . Round your answer to four decimal places .