Question

Suppose a shipment of 180 electronic components contains 3 defective components. To determine whether the shipment...

Suppose a shipment of 180 electronic components contains 3 defective components. To determine whether the shipment should be​ accepted, a​ quality-control engineer randomly selects 3 of the components and tests them. If 1 or more of the components is​ defective, the shipment is rejected. What is the probability that the shipment is​ rejected?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Since out of 180 components 3 are defective then Probability of defective item will be 3/180= 0.0167

So if 3 are randomly selected , n=3 then by binomial probability formula

So, here K=1 the P(K>/=1)=P(K=1)+P(K=2)+P(K=3)

Calculation by above stated formula

=0.0484+0.0008++0.000005

=0.0493

hence P(the shipment is​ rejected)=0.0493

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Suppose that a shipment of 120 electronics components contains 10 defective components. If the control...
1. Suppose that a shipment of 120 electronics components contains 10 defective components. If the control engineer selects 6 of these components at random and test them a. What is the probability that exactly 3 of those selected are defective? What is the probability that exactly 4 of those selected are not defective? b. What is the probability that at least 3 of those selected are defective? c. What is the probability that fewer than 4 selected are not defective?
A quality control department randomly selects 300 motors from a ship and inspects them for being...
A quality control department randomly selects 300 motors from a ship and inspects them for being good or defective. If this sample contains more than eight defective motors, the entire shipment is rejected. Assume that 2% of all motors received are defective. a) Find the probability that the given shipment will be accepted. b) Find the probability that the given shipment will be rejected.
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. From the...
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. From the shipment you take a random sample of 25. When sampling with replacement (so that the p = probability of success does not change), note that a success in this case is selecting a defective part. In our sample of 25 we reject the entire shipment if X>5. What is the probability of rejecting the entire shipment?
Suppose a shipment of 50 baseballs contains 3 that are defective. Baseballs from the shipment are...
Suppose a shipment of 50 baseballs contains 3 that are defective. Baseballs from the shipment are randomly selected one at a time and checked for defects. If a baseball is found to be defective it is placed in a bin for return and reimbursement, if it is good it is put aside for use. Determine the probability that the 3th defective baseball is identified on the 10th sample.
A tray of electronic components contains 22 components, 4 of which are defective. If 4 components...
A tray of electronic components contains 22 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.) (a) that all 4 are defective (b) that 3 are defective and 1 is good    (c) that exactly 2 are defective    (d) that none are defective
1. suppose you have just received a shipment of 100 iPads where 7 iPads are defective....
1. suppose you have just received a shipment of 100 iPads where 7 iPads are defective. To determine whether or not you will accept the shipment, you randomly select 3 iPads and test them. If all 3 of the tablets works, you accept the shipment, if not, you reject it. What is the probability of rejecting the shipment?
Perez Electronics buys monitors for its computers from another company. The monitors are received in shipments...
Perez Electronics buys monitors for its computers from another company. The monitors are received in shipments of 100 boxes, each containing 20 monitors. The quality assurance department at Perez Electronics first randomly selects one box from each shipment and then randomly selects 5 monitors from that box. The shipment is accepted if not more than 1 of 5 monitors is defective. The quality control inspector at Perez Electronics selected a box from a recently received shipment of monitors. Unknown to...
A shipment of part contains 3 defective items and 7 non-defective items. If we randomly select...
A shipment of part contains 3 defective items and 7 non-defective items. If we randomly select 4 items for inspection, what is the probability that we obtain at most one defective item in the sample? Assume sampling without replacement.
Suppose you have just received a shipment of 22 modems. Although you​ don't know​ this, 2...
Suppose you have just received a shipment of 22 modems. Although you​ don't know​ this, 2 of the modems are defective. To determine whether you will accept the​ shipment, you randomly select 4 modems and test them. If all 4 modems​ work, you accept the shipment.​ Otherwise, the shipment is rejected. What is the probability of accepting the​ shipment?
A distributor receives a large shipment of components. The distributor would like to accept the shipment...
A distributor receives a large shipment of components. The distributor would like to accept the shipment if 10% or fewer of the components are defective and to return it if more than 10% of the components are defective. She decides to sample 10 components, and to return the shipment if more than 1 of the 10 is defective. a)If the proportion of defectives in the batch is in fact 11%, what is the probability that she will return the shipment?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT