In a batch of 24 pedometers, 3 are believed to be defective. A quality control engineer...
In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 5 units to test. Let random variable X- the number of defective units that are among the 5 units tested. The probability mass function f(x)-P(x-x) is given below. f(x)-0,0.51154), 1,0.40385), (2,0.08077), (3,0.00385)) Recall that the mean μ o a discrete random variable X with probability mass x f Find u or the probability mass function above. What does this number represent? unction ven...
in a batch of 25 pedometers are believed to be defective. A quality conta iner random se units tot Lorandom te the number of active units that we among the unit tested a. Find the probably mass function () POX and sketch its histogram b. Find POX1) What does this number represent? Find PX21. What does this number represent? Ung the hypergometric probably on model n a tan bewed on a single ordered as the probably a function ) POX=x)...
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5 items is selected at random from the batch. Let X denote the number of defective items in the sample. (a) What is the name of the distribution of X? (b) Find the probability mass function for X. You may write this as a function or as a chart. If you write it as a function, also give the set of X values where the...
A quality control engineer inspects a random sample of 30 calculators from an incoming batch of size 150 and accepts the lot if at most 4 are not in working condition; otherwise the entire lot must be inspected with the cost charged to the vendor. Suppose the lot contains 5 defective calculators. a.) What is the probability that such a lot will be accepted without further inspection? b.) Given the third calculator tested is the first calculator to be defective,...
Problem 6. A device is tested. If it is found to be defective, then two more devices from the same lot are tested. However, if the first device is found to be okay, then only one additional item is tested. Assume that the devices are independent and that they come from, a batch in which 10% are defective. LetX denote the random variable that gives the total number of defective devices encountered during this testing procedure. (a) Draw a tree...
The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of six syringes taken from the batch. Suppose the batch contains 1% defective syringes. (a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, …, 5 and 6 defective syringes in a random sample of six syringes. (Select the correct graph.) A histogram with 4 visible bars is given. The horizontal...
0.54/0.76 points Previous Answers DevoreSla19 3E 015 My Notes Ask Your Te Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected from each batch for inspection. We can represent possible outcomes of the selection process by pairs, For example, the pairs (1, 2) and (2, 1) represent the selection of boards 1 and 2 for inspection. (a) List the ten...
Binomial Distributions Given your statistical knowledge, you have been asked to assist the quality control manager of a local manufacturer in establishing and seeing that the factory conforms to standards set by management. The facility manufactures a new electronic toy. The factory can produce 1000 toys per day. Management has indicated that initially they will be satisfied if the defect rate is 3% or less. Since you can’t quality-test every toy produced, you suggest that a random sample of 40...
The following function is probability mass function 5x 4 f (x) 0, 1, 2, 3, 4 x 70 Determine the mean, , and variance, o, of the random variable. Round your answers to two decimal places (e.g. 98.76) =
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Question 1 A laboratory test is 95 % correct in detecting a certain disease when the disease is...