Suppose that when a transistor of a certain type is subjectedto an accelerated life test, the lifetime X (in weeks)has a gamma distribution with mean 24 weeks and standarddeviation 12 weeks.a. What is the probability that a transistor will lastbetween 12 and 24 weeks?b. What is the probability that a transistor will last atmost 24 weeks? Is the median of the lifetime distributionless than 24? Why or why not?c. What is the 99th percentile of the lifetime distribution?d. Suppose the test will actually be terminated after tweeks. What value of t is such that only .5% of alltransistors would still be operating at termination?

STAT-5615: Statistics in Research I Lecture 4 Probability & Probability Distributions Ott & Longnecker Chapter 4 Dr. Christian Lucero Virginia Tech Fall 2016 Introduction to Probability Deâ–Żnition A chance operation or random trial is a process or experiment that results in an outcome that cannot be predicted in advance with certainty....