A company manufactures a new type of LED light bulb. The lifespans of these light bulbs, in hours, are a continuous random variable with probability density function f(x)=0.0008−0.00000032(x−15,000) from 15,000 to 17,500 hours. Use a TI-83, TI-83 Plus, or TI-84 calculator to find the probability that a randomly selected LED light bulb will have a life span between 16,000 and 16,200 hours.
Round your answer to three dec