Let Y (X ) Show that if X is a Weibull random variable with parameters , , and , then Y is an exponential random variable with parameter 1 and vice versa

Question: Let Y = (X /) Show that if X is a Weibull random variable with parameters , , and , then Y is an

Let
Y = (X – ν/α)β
Show that if X is a Weibull random variable with parameters ν, α, and β, then Y is an exponential random variable with parameter λ = 1 and vice versa.

Step by Step Solution

★★★★★

3.35 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Suppose X is Weibul... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

588-M-S-C-R-V (727).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Let X be a binomial random variable with parameters n and p. Show that p)n+ n + Dp

If X is a gamma random variable with parameters (n, 1), approximately how large need n be so that 101 01?

If X is a beta random variable with parameters a and b, show that E[X] = a/a + b Var(X) = ab/(a + b)2(a + b + 1)

24. Let $$Y = \left( \frac{X - v}{\alpha} ight)^{-\beta}$$ Show that if X is a Weibull random variable with parameters v, , and , then Y is an exponential random variable with parameter = 1 and vice...

Let Y = (X - v/) Show that if is a Weibull random variable with parameters v, , and , then is an exponential random variable with parameter = 1 and vice versa.

Problem 2: (Set Operations and Probability Equality) For two events A, B, dene C: (ADBC)U(BDAC) 1) We know that A F] B means both events occur and A U B means at least one of the two events occurs....

Let X,..., X be independent with P{X; = 1} = P = 1 - P{X, = 0}, i = 1, n. Show that X, Bin(n,p), 1=1 where Bin(n, ) is a binomial random variable with parameters n and Pln. (Hint Prove it first for n...

D Sporsmal 1 1 poeng Let v be a positive integer. What kind of distribution do we get if set o = 1/2 and B = 2 in the gamma distribution? O Weibull distribution O Lognormal distribution O Exponential...

A tensile fastener used in the rotor of a helicopter is composed of three parallel aluminum tensile rods arranged in series with two parallel steel tensile rods as simplified in the figure below....

Escau Company is a wholesale distributor that uses activity-based costing for all of its overhead costs. The company has provided the following data concerning its annual overhead costs and its...

In June 2010, Tesco opened Britain's first supermarket without any checkout workers. Instead, one person is hired to supervise the five checkouts, mainly to assist customers who have not used a...

Answer exercise 7 for the CES function: y = (x1 r + (1 )x2 r) 1/r r > 1, (0, 1).

15. If A flips *n* + 1 and B flips *n* fair coins, show that the probability that A gets more heads than B is $$\frac{1}{2}$$. HINT: Condition on which player has more heads after each has flipped...

16. Prove or give counterexamples to the following statements: (a) If E is independent of F and E is independent of G, then E is independent of FG. (b) If E is independent of F, and E is independent...

17. Let A and B be events having positive probability. State whether each of the following statements is (i) necessarily true, (ii) necessarily false, or (iii) possibly true. (a) If A and B are...

also what is P College tuition: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 15 private colleges in California was $37,500 with a standard deviation of $7850. A...

An investment under consideration has a payback of seven years and a cost of $867,000. Assume the cash flows are conventional. If the required return is 11 percent, what is the worst-case NPV?...

b course hero - Bing X Homework Help - Q&A from On x Bb WileyPLUS Online Homework - E X NWP Assessment Builder UI App X NWP Assessment Player UI Appli X + X @...