Question
The quality control department rejects the whole batch of resistors whenever it finds two or more defective untsin a sample of 15 resistors tested. If a batch of resistors contain 1 percent defective units, determine the following: (a) the mean and standard deviation of the defective resistors in a sample of 15 resistors chosen from the batch, (b) the probability of rejecting the entire batch of resistors, and (c) the probability of finding no defective resistor when a sample of 15 resistors are tested
it finds two or The quality control department rejects the whole batch of resistors whenever more defective units in a sample of 15 resistors tested. If a batch of resistors contain 1 percent defective units, determine the following: (a) the mean and standard deviation of the defective resistors in a sample of 15 resistors chosen from the batch, (b) the probability of rejecting the entire batch of resistors, and (c) the probability of finding no defective resistor when a sample of 15 resistors are tested
0 0
Add a comment Improve this question Transcribed image text
Answer #1

or mare Dapeahve 0.01) (0.99 [O.oi) [0.9g)

Add a comment
Know the answer?
Add Answer to:
The quality control department rejects the whole batch of resistors whenever it finds two or more...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 7.30 A quality-control inspector rejects any shipment of printed circuit boards whenever 3 or more defectives...

    7.30 A quality-control inspector rejects any shipment of printed circuit boards whenever 3 or more defectives are found in a sample of 100 boards tested. Find the (1) expected number defective and (2) the probability of rejecting the shipment when the proportion of defectives in the entire shipment is (a) Proportion of Defectives-0.01 Expected Number Defective- Probability of Rejecting the Shipment (b) Proportion of Defectives-0.05 Expected Number Defective- Probability of Rejecting the Shipment- (c) Proportion of Defectives 0.1 Expected Number...

  • In a batch of 24 pedometers, 3 are believed to be defective. A quality control engineer...

    In a batch of 24 pedometers, 3 are believed to be defective. A quality control engineer randomly selects 4 units țo est Le random vara e·then m e among the 4 units tested. The probability mass function fx) P(Xx) is given below. defect eur s that are f(x) ((0,0.56324), (1,0.37549), (2,0.05929), (3,0.00198)) Recall that the mean μ of a discrete random variable with probability mass function f X-P Х-х ıs given by this number represent? f X Find for the...

  • 2. A quality control inspection system requires that from each batch of items a sample of...

    2. A quality control inspection system requires that from each batch of items a sample of 10 is selected and tested. If 2 or more of the sample are defective the whole batch is rejected. If the probability of an item being defective is 0.05 (i.)What is the probability of 2 defectives in the sample? (6 points) (ii.)What is the probability of the batch being rejected? (6 points)

  • In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly...

    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...

  • A quality control engineer inspects a random sample of 30 calculators from an incoming batch of...

    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,...

  • in a batch of 25 pedometers are believed to be defective. A quality conta iner random...

    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)...

  • A shipment of 50,000 transistors arrives at a manufacturer plant. The quality control engineer at the...

    A shipment of 50,000 transistors arrives at a manufacturer plant. The quality control engineer at the plant obtains a random sample of 500 transistors and will reject the entire shipment if 10 or more of the resistors are defective. Suppose that 4% of the resistors in the whole shipment are defective. Describe the sampling distribution of the sample proportion of defective resistors, Justify your answer. What is the probability the engineer accepts the shipment? Do you believe the acceptance policy...

  • The quality-control inspector of a production plant will reject a batch of syringes if two or...

    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 eight syringes taken from the batch. Suppose the batch contains 5% defective syringes. A button hyperlink to the SALT program that reads: Use SALT. (a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, , 7 and 8 defective syringes in a random sample of eight syringes. (b) Find μ....

  • The quality-control inspector of a production plant will reject a batch of syringes if two or...

    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 twelve syringes taken from the batch. Suppose the batch contains 5% defective syringes. (a) Find μ (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.) μ =  syringes What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to...

  • Required information The JMH Company manufactures resistors with an ideal resistance value of 400 ohms. A...

    Required information The JMH Company manufactures resistors with an ideal resistance value of 400 ohms. A sample of 7000 resistors were tested and found to have a mean resistance of 391.5 ohms with a standard deviation of 31.7 ohms. Assume a normal distribution. Given a tolerance of ±10 percent, what is the probability that a particular resistor will be unusable? Round to four decimal places. The probability that a particular resistor will be unusable is

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT