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A batch of n = 60 items contains m = 15 defective items. Suppose k =...
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?
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...
A lot of 100 items contains k defective items. m items are chosen at random and tested. What is the probability that r items are found defective
A lot of 100 items contains k defective items. m items are chosen at random and tested. What is the probability that r items are found defective
(10 points) A lot of 100 items contains k defective items. M (Ms100) items are chosen...
(10 points) A lot of 100 items contains k defective items. M (Ms100) items are chosen at random and tested (a) (2 pts) How many different ways can we choose M items from 100 items in the lot? (b) (4 pts) How many different ways that among the M items chosen, m (msk) are found 1. defective? the M items chosen? probability that the lot is accepted? (c) (2 pts) Based on (a) and (b), what is the probability that...
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?
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.
A batch of 536 containers for frozen orange juice contains 6 that are defective. Two are...
A batch of 536 containers for frozen orange juice contains 6 that are defective. Two are selected, at random, without replacement from the batch. a) What is the probability that the second one selected is defective given that the first one was defective? Round your answer to five decimal places (e.g. 98.76543). b) What is the probability that both are defective? Round your answer to seven decimal places (e.g. 98.7654321). c) What is the probability that both are acceptable? Round...
1.) Suppose that a box contains 8 cameras and that 3 of them are defective. A...
1.)
Suppose that a box contains 8 cameras and that 3 of them are
defective. A sample of 2 cameras is selected at random. Define the
random variable X as the number of defective cameras in the
sample.
Hint: Make a probability tree for selecting 2 cameras without
replacement.
Write the probability distribution for X.
k
P(X=k)
What is the expected value of X?
2.)
Assume that a procedure yields a binomial distribution with a
trial repeated n=5n=5 times. Find...
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?
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...
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...
(10 points) A lot of 100 items contains k defective items. M (Ms100) items are chosen at random and tested (a) (2 pts) How many different ways can we choose M items from 100 items in the lot? (b) (4 pts) How many different ways that among the M items chosen, m (msk) are found 1. defective? the M items chosen? probability that the lot is accepted? (c) (2 pts) Based on (a) and (b), what is the probability that...
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.
1.)
Suppose that a box contains 8 cameras and that 3 of them are
defective. A sample of 2 cameras is selected at random. Define the
random variable X as the number of defective cameras in the
sample.
Hint: Make a probability tree for selecting 2 cameras without
replacement.
Write the probability distribution for X.
k
P(X=k)
What is the expected value of X?
2.)
Assume that a procedure yields a binomial distribution with a
trial repeated n=5n=5 times. Find...
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...
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