Suppose that when a transistor of a certain type is subjected to an accelerated

Question

Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 32 weeks and standard deviation 16 weeks. (a) What is the probability that a transistor will last between 16 and 32 weeks? (b) What is the probability that a transistor will last at most 32 weeks? Is the median of the lifetime distribution less than 32? Why or why not? The median is 32, since P(X lessthanorequalto bar mu) = .5. (c) What is the 99th percentile of the lifetime distribution? (Round your answer to the nearest whole number.) (d) Suppose the test will actually be terminated after t weeks. What value of t is such that only 0.5% of all transistors would still be operating at termination? (Round your answer to the nearest whole number.) t = weeks

Explanation / Answer

a) * = µ = 32, *2 = 2 = 256

= 4, = 8

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.