The life span in hours of a battery is a random variable wit

The life span, in hours, of a battery is a random variable with the probability density function shown below. Find the probability that the battery lasts more than 1000 hours. Report answer to 4 decimal places.

            1

Solution

a) probability that the battery lasts more than 1000 hours = 1-P(x < 1000)= 1-( 1