On the exam 2 review, we saw that the exponential distribution has the property that it is memoryless that is P(X > a +b

Business, Finance, Economics, Accounting, Operations Management, Computer Science, Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Algebra, Precalculus, Statistics and Probabilty, Advanced Math, Physics, Chemistry, Biology, Nursing, Psychology, Certifications, Tests, Prep, and more.
Post Reply
answerhappygod
Site Admin
Posts: 899603
Joined: Mon Aug 02, 2021 8:13 am

On the exam 2 review, we saw that the exponential distribution has the property that it is memoryless that is P(X > a +b

Post by answerhappygod »

On The Exam 2 Review We Saw That The Exponential Distribution Has The Property That It Is Memoryless That Is P X A B 1
On The Exam 2 Review We Saw That The Exponential Distribution Has The Property That It Is Memoryless That Is P X A B 1 (73.84 KiB) Viewed 62 times
On the exam 2 review, we saw that the exponential distribution has the property that it is memoryless that is P(X > a +b | X > a) = P(X > b) for two positive constants a and b. We will now show that the Weibull distribution does not have this property in general, but does for one very specific parameter value. a. Find P(X > a+b | X > a) where X has the Weibull distribution with parameters a and B. b. Find P(X > b) where X has the Weibull distribution with parameters a and B. C. For what specific value of a are your answers for (a.) and (b.) equal? Why are these not equal for every other value of a? Notice that for the specific a value where these are equal, the Weibull reduces to the exponential distribution, so this shouldn't be too surprising.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
Post Reply