
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
I am having trouble with this homework question
![At time t = 0, 11 identical components are tested. The lifetime distribution of each is exponential with parameter a. The experimenter then leaves the test facility unmonitored. On his return 24 hours later, the experimenter immediately terminates the test after noticing that y = 5 of the 11
components are still in operation (so 6 have failed). Derive the mle of 1. [Hint: Let Y = the number that survive 24 hours. Then Y - Bin(n, p). What is the mle of p? Now notice that p = P(X; > 24), where X, is exponentially distributed. This relates 1 to p, so the former can be estimated
once the latter has been.] (Round your answer to four decimal places.)
 =](https://content.bartleby.com/qna-images/question/86bfc21f-7304-4d6a-8ae3-de059a5180e7/2784d3f2-5ef7-4475-990b-fc997a9a9600/8bw1u2f_thumbnail.png)
Transcribed Image Text:At time t = 0, 11 identical components are tested. The lifetime distribution of each is exponential with parameter a. The experimenter then leaves the test facility unmonitored. On his return 24 hours later, the experimenter immediately terminates the test after noticing that y = 5 of the 11
components are still in operation (so 6 have failed). Derive the mle of 1. [Hint: Let Y = the number that survive 24 hours. Then Y - Bin(n, p). What is the mle of p? Now notice that p = P(X; > 24), where X, is exponentially distributed. This relates 1 to p, so the former can be estimated
once the latter has been.] (Round your answer to four decimal places.)
 =
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 2 images

Knowledge Booster
Similar questions
- there is more to this question than what was answeredarrow_forwardCan you redo the problem? I think the answer for part b should a number between 0 and 1arrow_forwardWhat is an example of something going on in your mind or body that is automatically controlled by math or has a math equation that goes with it?arrow_forward
- What do you think is the best way of sorting out these type of questions. When I'm studying I somehow always mix up negative and positive values or get something off somehow. so that I get one part wrong which leads to getting another part wrong and so on. I understand the concept of elimination and subsition but I can't seem to carry it out very well.arrow_forwardCan i share my screen and show you a homework problem that I thought I did right but is wrong and I don't know what I've done wrong?arrow_forwardit says your answers are wrongarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON

A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON
