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a. If the lot contains one defective LCD, what is the probability that you will accept the lot? b. If the lot contains 3 defective LCDS, What is the probability that you will accept the lot? c. If the lot contains 3 defective LCDS, what is the expected number of defectives in the sample?

a. If the lot contains one defective LCD, what is the probability that you will accept the lot? b. If the lot contains 3 defective LCDS, What is the probability that you will accept the lot? c. If the lot contains 3 defective LCDS, what is the expected number of defectives in the sample?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5.1 Discrete Uniform Distribution Definition. Discrete Uniform Distribution If X is a discrete random variable that could assume any of the values X1, X2, . . . , xp with equal probabilities, then X has the discrete uniform distribution, denoted by X ~ Uni(k), with the probability mass function 1 x = X1, X2, • • k ... p(x) = 0, otherwise. 1 k 1 k It has mean ux EE x; and variance o, È (*; - 4x). k i=1 i=1
Transcribed Image Text:5.1 Discrete Uniform Distribution Definition. Discrete Uniform Distribution If X is a discrete random variable that could assume any of the values X1, X2, . . . , xp with equal probabilities, then X has the discrete uniform distribution, denoted by X ~ Uni(k), with the probability mass function 1 x = X1, X2, • • k ... p(x) = 0, otherwise. 1 k 1 k It has mean ux EE x; and variance o, È (*; - 4x). k i=1 i=1
2. Suppose you are purchasing small lots of LCDS for computer terminals. Since it is very costly to test an LCD, it may be desirable to test a sample of LCDS from the lot rather than every LCD in the lot. Suppose that each lot contains 7 LCDS. You decide to sample 3 LCDS per lot and to reject the lot if you observe one or more defectives in the sample. a. If the lot contains one defective LCD, what is the probability that you will accept the lot? b. If the lot contains 3 defective LCDS, What is the probability that you will accept the lot? c. If the lot contains 3 defective LCDS, what is the expected number of defectives in the sample?
Transcribed Image Text:2. Suppose you are purchasing small lots of LCDS for computer terminals. Since it is very costly to test an LCD, it may be desirable to test a sample of LCDS from the lot rather than every LCD in the lot. Suppose that each lot contains 7 LCDS. You decide to sample 3 LCDS per lot and to reject the lot if you observe one or more defectives in the sample. a. If the lot contains one defective LCD, what is the probability that you will accept the lot? b. If the lot contains 3 defective LCDS, What is the probability that you will accept the lot? c. If the lot contains 3 defective LCDS, what is the expected number of defectives in the sample?
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