Suppose that 25 percent of the items produced by a certain machine are defective and the...
- Suppose that 25 percent of the items produced by a certain machine are defective and the parts are independent of each other. We will sample n items at random and inspect them. What is the expected value and variance for the described distribution?
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Suppose that 25 percent of the items produced by a certain
machine are defective and the...
Five percent (0.05) of the parts produced by a machine are defective. Twenty(20) parts are selected...
Five percent (0.05) of the parts produced by a machine are defective. Twenty(20) parts are selected at random for study. A. what is the probability that more than 4 parts are defective? B. what is the probability that exactly 3 parts are defective? C. what is the expected number of defective parts in the sample? D. What is the variance and standard deviation of defective parts in the sample?
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items...
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items that are independently defective with probability 0.02, and machine 3 produces items that are independently defective with probability 0.04. Suppose we purchase a box with 100 items in it, all of which were produced by the same machine. The box was produced by machine 1 with probability 0.5, by machine 2 with probability 0.3, and by machine 3 with probability 0.2. (a) Find the...
Seven percent of items made by a certain machine are defective. The items are packed and...
Seven percent of items made by a certain machine are defective. The items are packed and sold in boxes of 50. What is the probability of 5 items being defective in a box?
suppose that our concern is with an inspection process where the objective is to inspect machine...
suppose that our concern is with an inspection process where the objective is to inspect machine parts let Ai denote the event that part selected at time it is defective also let X denote the number of parts inspected until a defective part is found and let p denote the probability that a randomly selected part is defective if parts are independent of each other what is P(X=i) ? What distribution describe the random variable X?
6. Suppose that the proportion 0 of defective items in large shipment is unknown and that...
6. Suppose that the proportion 0 of defective items in large shipment is unknown and that the prior distribution of 0 is the beta distribution with parameters 1 and 10. Assume in a random sample of 20 items that 1 item is found to be defective. (a) What is the expected value and variance of the prior distribution? (b) What is the posterior distribution? (c) What is the Bayes estimator for 0 if one uses the quadratic loss function? (d)...
1. The proportion of defective items in a large lot is p. Suppose a random sample of n items is s...
1. The proportion of defective items in a large lot is p. Suppose a random sample of n items is selected from the lot. Let X denote the mumber of defective itens in the sample and let denote the number of non-defective items. (a) Specify the distributions of X and Y, respectively. Are they independent? (b) Find E(X-Y) and var(X Y).
1. The proportion of defective items in a large lot is p. Suppose a random sample of n items...
Number 12 9. In a production process, one fifth of the items fabricated are defective. Ten...
Number 12
9. In a production process, one fifth of the items fabricated are defective. Ten items from the production line are randomly selected and inspected. Let X be the number of defective articles in this sample. If the distribution of X is Bin(n,p), what are the values of n and p? 10. of the random variable X is given. What is the mean of the distribution? 11. What is of the distribution? 12, X is a random normal normal...
: What is the expected number of defective items made by the machine in an hour?...
: What is the expected number of defective items made by the machine in an hour? What is the variance? (Recall that the machine makes on average 5 defective items per hour) IN THIS CASE, ARE EXPECTED NUMBER AND VARIANCE EQUAL TO 5 OR SOMETHING ELSE ? THANKS
The proportion of defective items in a large lot is p. Suppose a random sample of...
The proportion of defective items in a large lot is p. Suppose a random sample of n items is selected from the lot. Let X denote the number of defective items in the sample and let Ydenote the number of non-defective items (a) Specify the distributions of X and Y , respectively. Are they independent? (b) Find E(X −Y) and var(X −Y).
The probability that a part produced by a certain factory's assembly line will be defective is...
The probability that a part produced by a certain factory's assembly line will be defective is 0.025. Suppose a sample of 130 parts is taken. Find the following probabilities by using the normal curve approximation to the binomial distribution. Use the table of areas under the standard normal curve given below. The probability that exactly 2 parts will be defective is ____. (Round to four decimal places as needed.) The probability that no parts will be defective is _____. (Round...
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items that are independently defective with probability 0.02, and machine 3 produces items that are independently defective with probability 0.04. Suppose we purchase a box with 100 items in it, all of which were produced by the same machine. The box was produced by machine 1 with probability 0.5, by machine 2 with probability 0.3, and by machine 3 with probability 0.2. (a) Find the...
6. Suppose that the proportion 0 of defective items in large shipment is unknown and that the prior distribution of 0 is the beta distribution with parameters 1 and 10. Assume in a random sample of 20 items that 1 item is found to be defective. (a) What is the expected value and variance of the prior distribution? (b) What is the posterior distribution? (c) What is the Bayes estimator for 0 if one uses the quadratic loss function? (d)...
1. The proportion of defective items in a large lot is p. Suppose a random sample of n items is selected from the lot. Let X denote the mumber of defective itens in the sample and let denote the number of non-defective items. (a) Specify the distributions of X and Y, respectively. Are they independent? (b) Find E(X-Y) and var(X Y).
1. The proportion of defective items in a large lot is p. Suppose a random sample of n items...
Number 12
9. In a production process, one fifth of the items fabricated are defective. Ten items from the production line are randomly selected and inspected. Let X be the number of defective articles in this sample. If the distribution of X is Bin(n,p), what are the values of n and p? 10. of the random variable X is given. What is the mean of the distribution? 11. What is of the distribution? 12, X is a random normal normal...
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