Suppose that in a batch of 500 components, 20 are defective and the rest are good....
Suppose that in a batch of 500 components, 20 are defective and the rest are good. A sample of 10 components is selected at random with replacement, and tested. Let X denote the number of defectives in the sample.
a. What is the PMF of X? State the distribution, its parameters, and give the equation for its PMF with the correct parameters.
b. What is the probability that the sample contains at least one defective component?
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Suppose that in a batch of 500 components, 20 are defective and
the rest are good....
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5...
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5 items is selected at random from the batch. Let X denote the number of defective items in the sample. (a) What is the name of the distribution of X? (b) Find the probability mass function for X. You may write this as a function or as a chart. If you write it as a function, also give the set of X values where the...
In a batch of 20 television picture tubes, 5 are known to be defective. What is...
In a batch of 20 television picture tubes, 5 are known to be defective. What is the probability that a random sample of 5 (without replacement) will result in each of the following? Exactly 1 defective No defectives Two or fewer defectives
2-108. + A batch of 500 containers for frozen orange juice contains 5 that are defective....
2-108. + A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, with out replacement from the batch. (a) What is the probability that the second one selected is defective given that the first one was defective? (b) What is the probability that both are defective? (c) What is the probability that both are acceptable? Three containers are selected, at random, without replace- ment, from the batch. given that the first...
A batch of n = 50 items contains m = 10 defective items. Suppose k =...
A batch of n = 50 items contains m = 10 defective items. Suppose k = 10 items are selected at random and tested. How many items, k, do we need to sample, in order to get at least one defective item, with probability greater than 0.5?
Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample...
Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacement. Let X denote the number of defective batteries in the sample. Find the probability that the sample contains a) Exactly one defective battery b) at most one defective battery. c) at least one defective battery.
Problem 2 A batch of 500 Johnson rods contains five that are defective. Two are selected...
Problem 2 A batch of 500 Johnson rods contains five that are defective. Two are selected at random from the batch Do you think the probability of the selection of defective (or nondefective, for that matter) Johnson rods is independent? Why? What is the probability that the second one selected is defective given that the first one was defective? What is the probability that both are defective? What is the probability that both are nondefective? a. b. c. d.
In a production facility ., a batch of three hundred products contains eight that are defective....
In a production facility ., a batch of three hundred products contains eight that are defective. Two are selected from batch, at random, without replacement * What is the probability that the second one selected is defective given that the firstone was defective? *What is the probability that both are def ective? *What is the probability that both are acceptable?
A batch of n = 60 items contains m = 15 defective items. Suppose k =...
A batch of n = 60 items contains m = 15 defective items. Suppose k = 10 items are selected at random and tested. What is the probability that we find exactly five defective items?
A box of 8 flashbulbs contains 3 defective bulbs. A random sample of 2 is selected...
A box of 8 flashbulbs contains 3 defective bulbs. A random sample of 2 is selected and tested. Let X be the random variable associated with the number of defective bulbs in a sample. (A) Find the probability distribution of X. (B) Find the expected number of defective bulbs in a sample.
A bin of 50 parts contains 5 that are defective. A sample of 10 parts is...
A bin of 50 parts contains 5 that are defective. A sample of 10 parts is selected at random, without replacement. (a) How many different samples of size 10 are there that contain at least three defective parts? (b) How many ways to obtain a sample of 10 parts from the bin of 50? (c) What is the probability of obtaining at least three defectives in a sample of 10 parts?
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5 items is selected at random from the batch. Let X denote the number of defective items in the sample. (a) What is the name of the distribution of X? (b) Find the probability mass function for X. You may write this as a function or as a chart. If you write it as a function, also give the set of X values where the...
2-108. + A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, with out replacement from the batch. (a) What is the probability that the second one selected is defective given that the first one was defective? (b) What is the probability that both are defective? (c) What is the probability that both are acceptable? Three containers are selected, at random, without replace- ment, from the batch. given that the first...
Problem 2 A batch of 500 Johnson rods contains five that are defective. Two are selected at random from the batch Do you think the probability of the selection of defective (or nondefective, for that matter) Johnson rods is independent? Why? What is the probability that the second one selected is defective given that the first one was defective? What is the probability that both are defective? What is the probability that both are nondefective? a. b. c. d.
A batch of n = 60 items contains m = 15 defective items. Suppose k = 10 items are selected at random and tested. What is the probability that we find exactly five defective items?
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