: 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 ?
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: What is the expected number of defective items made by the machine in an hour?...
Example: Suppose the machine is watched for three hours. What is the probability that it will make no more than 12 defective items? (Recall that the machine makes on average 5 defective items per hour) b) What is the probability that at least 6 defective items will be made? c) What is the probability that exactly 13 defective items will be made?
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 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...
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?
2. Defective items produced at a factory occur at a mean rate of ג per hour. Let X be the Xn of the number number of defects observed in an 8 hour work day. A random sample X of defects is taken (a) Determine a reasonable estimator for λ. Is it unbiased? Explain. (b) If the weekly added cost of the defects is C-50X + 2X2, find ElCl.
Here again is the probability distribution of the number of defective parts in an hour in Yves' production line: Y. 0 1 2 3 4 P(Y=y) .05 .05 .10 .75 .05 What is the expected amount of defective parts in an hour in Yves' production line? 2 .2 2.7 .54
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)...
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?
1. A lightbulb factory produces 567 lightbulbs every hour. Approximately 1.96% of the lightbulbs are defective, and do not work. What is the expected number of defective bulbs produced in an hour? The answer does not need to be an integer. 2. A lightbulb factory produces 956 lightbulbs every hour. Approximately 2.91% of the lightbulbs are defective, and do not work. What is the standard deviation of the number of defective bulbs produced in an hour? 3.A call center receives...
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...