we have four boxes. box #1 contains 2000 components of which 100 are defective. Box #2...
we have four boxes. box #1 contains 2000 components of which 100
are defective. Box #2 contains 500 components of which 200 are
defective. boxes #3 and #4 each contain 1000 components with 100 of
them being defective. a box is selected by ruling a fair four sided
die and then a single item is randomly chosen from the box.
a.What is the probability that the selected component is
defective?
b. if the selected item is defective, find the probability that is from box#2
c. if the selected item is defective, find the probability that is from an even numbered box
Homework Answers
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we have four boxes. box #1 contains 2000 components of which 100
are defective. Box #2...
Box I contains 4 defective and 8 non-defective products, whereas box II contains 5 defective and...
Box I contains 4 defective and 8 non-defective products, whereas box II contains 5 defective and 5 non-defective products. An item is randomly chosen from box I and put into box II, and an item is then randomly selected from box II. a) the probability that the product selected from box II is defective is ? b) the conditional probability that the transferred item was defective, given that a defective item is selected from box II is?
Question 29 (4 points) Two boxes each contain five numbered balls: • Box 1 contains balls...
Question 29 (4 points) Two boxes each contain five numbered balls: • Box 1 contains balls with numbers 3, 3, 3, 4, 5 • Box 2 contains balls with numbers 1, 1, 2, 2, 2 (a) You will randomly select one ball from each box. Let X be the difference between the numbers selected from the first and second box. Find the probability distribution of X. You can simply list the probabilities for each possible value of X instead of...
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective....
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective. The components are in boxes of 10 A box is selected at random (a) Find the probability that the box contains at least 2 defective components. (b) Find the mean and the standard deviation of the distribution Cy e length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2...
boxes, n 2, and for each k E {1,...,n} the k-th box contains k watches. In...
boxes, n 2, and for each k E {1,...,n} the k-th box contains k watches. In We have every box each watch is defective with probability independently of the other watches in the box. We choose a box randomly. Given that there are no defective watches in it compute the probability that this was the second box
boxes, n 2, and for each k E {1,...,n} the k-th box contains k watches. In We have every box each watch is...
We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two...
We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box number 2 contains two black and one white ball. Our friend chooses one of the boxes at random, probability of choosing box number 1 is p. Then he takes one ball from a chosen box (each of three balls can be taken chosen equally likely), and it turns out to be white. We are going to find MAP estimate for the...
Problem 2. We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box nber 2 contains two black and one white ba Our friend chooses one of the boxes at ran...
Problem 2. We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box nber 2 contains two black and one white ba Our friend chooses one of the boxes at random, probability of choosing box number 1 is p. Then he takes one bal from a chosen box (each of three balls can be taken chosen equally likely), and it turns out to be white We are going to find MAP estimate...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing' a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of...
1. One box contains seven red balls and three green balls, and a second box contains...
1. One box contains seven red balls and three green balls, and a second box contains six red balls and four green balls. A ball is randomly selected chosen from the first box and placed in the second box. Then a ball is randomly selected from the second box and placed in the first box. a. What is the probability that a red ball is selected from the first box and a red ball is selected from the second box?...
1 One box contains seven red balls and three green balls, and a second box contains...
1 One box contains seven red balls and three green balls, and a second box contains six red balls and four green balls. A ball is randomly selected chosen from the first box and placed in the second box. Then a ball is randomly selected from the second box and placed in the first box. a. What is the probability that a red ball is selected from the first box and a red ball is selected from the second box?...
QUESTIONS A box contains 140 USB drives, 38 of which are defective. Consider drawing a non-defective...
QUESTIONS A box contains 140 USB drives, 38 of which are defective. Consider drawing a non-defective USB drive to be a "success." If 25 USB drives are randomly selected without replacement, the results do not form a binomial distribution for which reason(s)? (select all that apply) The probability of success is not the same in each trial. The trials are dependent. Each trial has more than 2 possible outcomes. There is not a fixed number of trials.
Question 29 (4 points) Two boxes each contain five numbered balls: • Box 1 contains balls with numbers 3, 3, 3, 4, 5 • Box 2 contains balls with numbers 1, 1, 2, 2, 2 (a) You will randomly select one ball from each box. Let X be the difference between the numbers selected from the first and second box. Find the probability distribution of X. You can simply list the probabilities for each possible value of X instead of...
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective. The components are in boxes of 10 A box is selected at random (a) Find the probability that the box contains at least 2 defective components. (b) Find the mean and the standard deviation of the distribution Cy e length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2...
boxes, n 2, and for each k E {1,...,n} the k-th box contains k watches. In We have every box each watch is defective with probability independently of the other watches in the box. We choose a box randomly. Given that there are no defective watches in it compute the probability that this was the second box
boxes, n 2, and for each k E {1,...,n} the k-th box contains k watches. In We have every box each watch is...
We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box number 2 contains two black and one white ball. Our friend chooses one of the boxes at random, probability of choosing box number 1 is p. Then he takes one ball from a chosen box (each of three balls can be taken chosen equally likely), and it turns out to be white. We are going to find MAP estimate for the...
Problem 2. We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box nber 2 contains two black and one white ba Our friend chooses one of the boxes at random, probability of choosing box number 1 is p. Then he takes one bal from a chosen box (each of three balls can be taken chosen equally likely), and it turns out to be white We are going to find MAP estimate...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing' a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of...
1. One box contains seven red balls and three green balls, and a second box contains six red balls and four green balls. A ball is randomly selected chosen from the first box and placed in the second box. Then a ball is randomly selected from the second box and placed in the first box. a. What is the probability that a red ball is selected from the first box and a red ball is selected from the second box?...
1 One box contains seven red balls and three green balls, and a second box contains six red balls and four green balls. A ball is randomly selected chosen from the first box and placed in the second box. Then a ball is randomly selected from the second box and placed in the first box. a. What is the probability that a red ball is selected from the first box and a red ball is selected from the second box?...
QUESTIONS A box contains 140 USB drives, 38 of which are defective. Consider drawing a non-defective USB drive to be a "success." If 25 USB drives are randomly selected without replacement, the results do not form a binomial distribution for which reason(s)? (select all that apply) The probability of success is not the same in each trial. The trials are dependent. Each trial has more than 2 possible outcomes. There is not a fixed number of trials.
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