Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 6.2, Problem 30E
At time t = 0, 20 identical components are tested. The lifetime distribution of each is exponential with parameter λ. The experimenter then leaves the test facility unmonitored. On his return 24 hours later, the experimenter immediately terminates the test after noticing that y = 15 of the 20 components are still in operation (so 5 have failed). Derive the mle of λ. [Hint: Let Y = the number that survive 24 hours. Then Y ∼ Bin(n, p). What is the mle of pi Now notice that p = P(Xi ≥ 24), where Xi is exponentially distributed. This relates λ to p, so the former can be estimated once the latter has been.]
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Chapter 6 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 6.1 - The accompanying data on flexural strength (MPa)...Ch. 6.1 - The National Health and Nutrition Examination...Ch. 6.1 - Consider the following sample of observations on...Ch. 6.1 - The article from which the data in Exercise 1 was...Ch. 6.1 - As an example of a situation in which several...Ch. 6.1 - Urinary angiotensinogen (AGT) level is one...Ch. 6.1 - a. A random sample of 10 houses in a particular...Ch. 6.1 - In a random sample of 80 components of a certain...Ch. 6.1 - Each of 150 newly manufactured items is examined...Ch. 6.1 - Using a long rod that has length , you are going...
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