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.

Expert Solution

orchestra answered 3 years ago

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?

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.

A lot of 1000 screws contains 30 that are defective. Two are selected at random, without...

A lot of 1000 screws contains 30 that are defective. Two are selected at random, without replacement, from the lot. Let A and B denote the events that the first and second screws are defective, respectively. (a) Prove whether or not A and B are independent events using mathematical expressions of probability.

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.

20 microprocessors are randomly selected from a lot of 1000 among which 10 are defective. a....

20 microprocessors are randomly selected from a lot of 1000 among which 10 are defective. a. What is the probability that exactly three of the microprocessors are defective, given that at least one is defective?

A lot of 106 semiconductor chips contains 29 that are defective. Round your answers to four...

A lot of 106 semiconductor chips contains 29 that are defective. Round your answers to four decimal places (e.g. 98.7654). a) Two are selected, at random, without replacement, from the lot. Determine the probability that the second chip selected is defective. b) Three are selected, at random, without replacement, from the lot. Determine the probability that all are defective.

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

Problem 2: Number of defective tires produced in 20 batches of 100 units each is given...

Problem 2: Number of defective tires produced in 20 batches of 100 units each is given below. 2, 5, 7, 1, 3, 5, 9, 12, 16, 5, 9, 12, 2, 14, 4, 7, 6, 8, 9, 11 What control charts will be appropriate? Develop upper and lower control limits for such charts. The next batch of 100 units showed 12 defectives. Is the process in control? Problem 3: Inspection of 12 car panels in a Mercury plant showed the following...

A sample poll of 100 voters chosen at random from all voters in a given school...

A sample poll of 100 voters chosen at random from all voters in a given school district indicated that 53% of them were in favor of a 1% increase in property taxes in order to provide funds to hire more teachers. a. Find the 95% confidence interval for the population proportion of voters supporting the property tax hike? b. Can we be confident that the tax hike will pass given your results in part (a)? Explain....

Question