8. [-/10 Points] DETAILS MY NOTES ASK YOUR TEACHER (a) A type of lightbulb is labeled as having an average lifetime of 1,000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean , = 1,000, Recall than an exponential probability density function looks like 0 if to At) = \\u-le-/M ift20' where u is the mean. (1) Use this model to find the probability that a bulb fails within the first 300 hours. (Round your answer to three decimal places.) (li) Use this model to find the probability that a bulb burns for more than 1,000 hours. (Round your answer to three decimal places.) (b) What is the median lifetime of these lightbulbs? (Round your answer to one decimal place.) hr