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?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

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.

20 Items were randomly selected from a large inventory. If 10% of the items in the...

20 Items were randomly selected from a large inventory. If 10% of the items in the inventory are made in Asia, 1. What is the probability that exactly 4 of the 20 items selected are made in Asia? (2 Points) 2. What is the probability that at most 4 of the 20 items selected are made in Asia? (2 Points)

n chips manufactured, two of which are defective. k chips randomly selected from n for testing....

n chips manufactured, two of which are defective. k chips randomly selected from n for testing. Q1. What is Pr(a defective chip is in k selected chips) ? n persons at a party throw hats in a pile, select at random. Q2. What is Pr(no one gets own hat) ? Q3. Plot Pr (no one gets own hat) in the Y-axis and n=[1,1000] in the X-axis (~pmf)

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.

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.

We randomly chose 20 words from a randomly selected page in the text of interest and...

We randomly chose 20 words from a randomly selected page in the text of interest and counted the number of letters in each word: 5, 5, 2, 11, 1, 5, 3, 8, 5, 4, 7, 2, 9, 4, 8, 10, 4, 5, 6, 6. Suppose the editor was hoping that the book would have a mean length of 6.5 letters. Does this sample indicate that the authors failed to meet this goal? Conduct a hypothesis test showing all 4 elements...

It is known that 20% of products on a production line are defective. a. Randomly pick...

It is known that 20% of products on a production line are defective. a. Randomly pick 5 products. What is the probability that exactly 2 are defective? b. Products are inspected until first defective is encountered. Let X = number of inspections to obtain first defective. What is the probability that X=5?

Among 2200 randomly selected adult male passengers 1884 wear seat belts. Among 2280 randomly selected adult...

Among 2200 randomly selected adult male passengers 1884 wear seat belts. Among 2280 randomly selected adult female passengers 1999 wear seat belts. Use a 0.05 significance level to test the claim that the rate of male passengers who wear seat belts is lower than the rate of female passengers who wear seat belts. H0: p1____p2 For Q35 (circle one: equal to, less than, greater than, not equal to) H1: p1____ p2 For Q36 (circle one: equal to, less than, greater...

A poll is taken in which 265 out of 1000 randomly selected voters indicated their preference...

A poll is taken in which 265 out of 1000 randomly selected voters indicated their preference for a certain candidate. Find a 90% confidence interval. Remember σpˆ = ?pˆ(1−pˆ) (a) [4 pts] Find Zα/2: (b) [4 pts] Find the confidence interval: (c) [4 pts] Find the margin of error: (d) [4 pts] Without doing any calculations, indicate whether the margin of error is larger or smaller or the same for a 95% confidence interval. Why you think so?

Subjects