From a lot containing 25 items, 5 of which are defective, 4 are chosen at random....

From a lot containing 25 items, 5 of which are defective, 4 are chosen at random. Let X be the number of defective items found. Obtain the probability distribution of X if (a) the items are chosen with replacement, (b) the items are chosen without replacement.

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From a lot containing 25 items, 5 of which are defective, 4 are chosen at random. Let Y be the number of defectives found. Obtain the probability distribution of Y if

From a lot containing 25 items, 5 of which are defective, 4 are chosen at random. Let Y be the number of defectives found. Obtain the probability distribution of Y if (a) the items are chosen with replacement, (b) the items are chosen without replacement.

A box contains 12 items, 4 of which are defective. An item is chosen at random and not replaced.

A box contains 12 items, 4 of which are defective. An item is chosen at random and not replaced. This is continued until all four defec- tive items have been selected. The total number of items selected is recorded.

A lot of 100 items contains 10% which are defective and 90% nondefective. Two are chosen...

A lot of 100 items contains 10% which are defective and 90% nondefective. Two are chosen at random. Let A = {the first item non defective}, B = {the second item non defective}. Find P(B) and show P(B) = P(A). Why is this?

In a lot of 100 microcircuits, 20 are defective. Four microcircuits are chosen at random to...

In a lot of 100 microcircuits, 20 are defective. Four microcircuits are chosen at random to be tested. Let X denote the number of tested circuits that are defective. a. Identify the distribution of X , including any parameters, and find P(X = 2). You do not need to provide a decimal answer. b. If appropriate (check), estimate P(X = 2) using an appropriate method.

Only 4% of items produced by a machine are defective. A random sample of 200 items...

Only 4% of items produced by a machine are defective. A random sample of 200 items is selected and checked for defects. a. Refer to Exhibit 7-1. What is the expected value for ? b. What is the probability that the sample proportion will be within +/-0.03 of the population proportion c.What is the probability that the sample proportion will be between 0.04 and 0.07?

A production lot of 80 units has 8 defective items. We draw a random sample of...

A production lot of 80 units has 8 defective items. We draw a random sample of 10 units and we want to know: a.- the probability that the sample contains less than 3 defective articles b.- the probability that the sample contains at least 3 good articles c.- the probability that the sample contains more than 6 good articles

A box of manufactured items contains 12 items of which 4 are defective. If 3 items...

A box of manufactured items contains 12 items of which 4 are defective. If 3 items are drawn at random without replacement, what is the probability that: 1. The first one is defective and rest are good 2. Exactly one of three is defective

A manufacturing lot contains 40 items. It is known that 6 items are defective. A quality...

A manufacturing lot contains 40 items. It is known that 6 items are defective. A quality assurance engineer selects a random sample of 10 items and checks each to see if it is defective. i. What is the mean and standard deviation of the number of defective items that she will sample. [4] ii. What is the probability that she observes two or fewer defective items. A road surface is being inspected for potholes. The number of potholes per kilometre...

A committee of 4 is chosen at random from a group of 7 women 5 men....

A committee of 4 is chosen at random from a group of 7 women 5 men. Find the probability that the committee contains at least one man. without replacement

A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement.

A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement. We accept the shipment if at most 3 items in the sample are defective. (a) Write down (but do not evaluate) an exact formula for the probability of acceptance. (b) Use a Table to give the decimal value for the binomial approximation of the probability of acceptance. Show your work. (c) Suppose instead that the shipment contains 500 items of...

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