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
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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 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...
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?
In a lot of 100 items, two items are randomly selected for testing, and the lot is rejected if either of the tested items is found defective. (a) Find the probability that a lot with k defective items is accepted. (b) Calculate this probability numerically when k = 10, 30, 50 and 70.
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 a lot of 10,000 items has 200 defective items and that a random sample of 30 is drawn from the lot. What is the binomial approximation (to five decimal places) of the probability of getting exactly 2 defective items in the sample?
7) A lot of 100 semiconductor chips contains 20 that are defective. Two chips are selected at random, without replacement, from the lot. (a) What is the probability that the first one selected is defective? (b) What is the probability that the second one selected is defective given that the first one was defective? (c) What is the probability that both are defective?
Suppose a lot of 10,000 items has 200 defective items and that a random sample of 30 is drawn from the lot. What is the probability (to four decimal places) of getting exactly 1 defective in the sample? Do not use Poisson or binomial approximation.
A parking lot contains 100 cars, k of which happen to be lemons. We select m of these cars at random and take them for a test drive. Find the probability that n of the cars tested turn out to be lemons.
Paragraph 2-114. A lot of 100 semiconductor chips contains 10 that are defective. (a) Two are selected, at random, without replacement, from the lot. Determine the probability that the second chip selected is defective (b) Three are selêcted, at random, without replacement, from the lot. Determine the probability that all are defective.
please show work.. Suppose there are 4 defective items in a lot (collection) of 60 items. A sample of size 15 is taken at random and without replacement. Let X denote the number of defective items in the sample. Construct the probability table and graph the probability mass function. In the sample, at least one defective item is detected. What is the probability that at most two defective items are found?