Question

Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts...

Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts raw materials and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample n components can be viewed as the n trials of a binomial the experiment. That outcome for each component test (trail) will be that the component is classified as good or defective. Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 1%, Suppose a random sample of five items from a recent shipment.

  1. Assume tat 1% of the shipment is defective. Compute the probability that no items in the sample are defective
  2. Assume that 1% of the shipment is defective. Compute the probability that exactly on item in the sample is defective.
  3. What is the probability of the observing on or more defective items in the sample if 1% of the shipment is defective?
  4. Would you feel comfortable accepting the shipment if one item was found to be defective? Why or why not?

Homework Answers

Answer #1

a) Assuming that 1% of the shipment is defective, the probability that none of the five items in the sample are defective is computed here as:
= (1 - 0.01)5 = 0.9510

Therefore 0.9510 is the required probability here.

b) Probability that exactly one in the sample is defective is computed here as:
= 5*0.01*(1 - 0.01)4 = 0.0480

Therefore 0.0480 is the required probability here.

c) Given that 1% of the sample is defective, probability that one or more is defective is computed here as:
= 1 - Probability that none of the items are defective

= 1 - 0.9510

= 0.0490

Therefore 0.0490 is the required probability here.

d) The probability of 1 or more item being defective is 0.0490 < 0.05, therefore it is an unusual event given that 1% of the shipment is defective. Therefore if one or more item are defective, then we wont accept the the shipment.

Know the answer?
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
Similar Questions
Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts,...
Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of 40 components can be viewed as the 40 trials of a binomial experiment. The outcome for each component tested (trial) will be that the component is classified as good or defective. Reynolds Electronics accepts a lot from a particular supplier...
Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts,...
Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of 40 components can be viewed as the 40 trials of a binomial experiment. The outcome for each component tested (trial) will be that the component is classified as good or defective. Reynolds Electronics accepts a lot from a particular supplier...
In quality control technique, acceptance sampling is used to monitor incoming shipment of parts, raw materials,...
In quality control technique, acceptance sampling is used to monitor incoming shipment of parts, raw materials, and so on. In the electronic industry, components parts are commonly shipped from suppliers in large lots. Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 2%. Suppose a random of 5 items from a recent shipment is tested. 1. What is the appropriate distribution that can be used here? Explain why. 2. What...
In quality control technique, acceptance sampling is used to monitor incoming shipment of parts, raw materials,...
In quality control technique, acceptance sampling is used to monitor incoming shipment of parts, raw materials, and so on. In the electronic industry, components parts are commonly shipped from suppliers in large lots. Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 2%. Suppose a random of 5 items from a recent shipment is tested. 1. What is the appropriate distribution that can be used here? Explain why. 2. What...
In quality control technique, acceptance sampling is used to monitor incoming shipment of parts, raw materials,...
In quality control technique, acceptance sampling is used to monitor incoming shipment of parts, raw materials, and so on. In the electronic industry, components parts are commonly shipped from suppliers in large lots. Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 2%. Suppose a random of 5 items from a recent shipment is tested. 1. What is the appropriate distribution that can be used here? Explain why. 2. What...
As the quality engineer, you monitor supplier shipments for quality before accepting the shipment. Historically, this...
As the quality engineer, you monitor supplier shipments for quality before accepting the shipment. Historically, this supplier has produced about one defective item out of 60. When a new shipment comes, you take a sample of size 5 items from the shipment, and if there is more than one defective item, you reject the shipment. What is the probability of accepting a shipment? Your answer can be rounded to three decimal digit accuracy when entered. Probability is =
2. Nova Ceramics manufacture specialty ceramic parts for non-metallic applications. Parts must be precision drilled such...
2. Nova Ceramics manufacture specialty ceramic parts for non-metallic applications. Parts must be precision drilled such that when assembled with other parts they are a perfect fit. Inspecting parts is time consuming so the practice is for customers to inspect a sample of items from a shipment and if no more than 1 item is defective, the shipment is accepted. a) Suppose that the on average 0.1% of units are defective. The customer makes the decision on acceptance based upon...
The positive square root of variance is called: Select one: A. z-score B. mean C. Standard...
The positive square root of variance is called: Select one: A. z-score B. mean C. Standard Deviation D. dispersion QUESTION 12 Not yet answered Marked out of 2.00 Flag question Question text A cell phone company found that 75% of all customers want text messaging on their phones, 80% want photo capability, and 65% want both. What is the probability that a customer will want at least one of them? Select one: A. 0.90 B. 0.81 C. 0.87 D. 0.60...