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)
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Chapter1: Combinatorial Analysis
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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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