Question

In a certain factory, Machine A makes 50% of the components, with 1 in 15 being...

In a certain factory, Machine A makes 50% of the components, with 1 in 15 being defective. Machine B produces 25%, with 1 in 10 being defective. Machine C produces the rest, with 1 in 20 being defective.

(a) Complete the probability table for this scenario using the given template.

(b) What is the probability that a defective component is produced?

(c) If a component is selected at random and found to be defective, what is the probability it was made by Machine A?

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

Homework Answers

Answer #1

a)

Defective Not Defective Total
Machine A 0.5
Machine B 0.25
Machine C 0.25
Total 0.0708 0.9292

b)  the probability that a defective component is produced = 0.0708

c) If a component is selected at random and found to be defective, the probability it was made by Machine-A is a conditional probability =

The probability that the item is from Machine A given it is defective =

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
A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random. a) Find the probability that there are at most 2 defective components in the box.   b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random. a) Find the probability that there are at most 2 defective components in the box.   b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
A canning factory produces 5,000 containers a day. Machine A produces 3,000 of these packages, of...
A canning factory produces 5,000 containers a day. Machine A produces 3,000 of these packages, of which 5% are defective and Machine B produces the remaining 2,000 packages, of which 8% are defective. A package is randomly selected and found to be defective. What is the probability that it was produced by machine B?
1-The number of defective components produced by a certain process in one day has a Poisson...
1-The number of defective components produced by a certain process in one day has a Poisson distribution with mean 19. Each defective component has probability 0.6 of being repairable. a) Given that exactly 15 defective components are produced, find the probability that exactly 10 of them are repairable. b) Find the probability that exactly 15 defective components are produced, with exactly 10 of them being repairable.
In a factory, machine X produces 66 % of the daily output, machine Y produces 11...
In a factory, machine X produces 66 % of the daily output, machine Y produces 11 % of the daily output and machine Z produces 23 % of the daily output. It is known that 9 % of machine X's output is defective, 8 % of machine Y's output is defective and 7 % of machine Z's output is defective. One day, an item was inspected at random and found to be defective. 1. What is the probability that it...
45% of the products produced in a factory are produced in machine A, 30% in machine...
45% of the products produced in a factory are produced in machine A, 30% in machine B and the rest in machine C. During production, 15% of the products in the machine A, 20% and 10% of the products in the B and C machine respectively are out of order. A piece taken from production was found to be defective. What is the probability that this part was produced by the C machine?
Factories A, B and C produce computers. Factory A produces 2 times as many computers as...
Factories A, B and C produce computers. Factory A produces 2 times as many computers as factory C, and factory B produces 5 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.016, the probability that a computer produced by factory B is defective is 0.031, and the probability that a computer produced by factory C is defective is 0.052. A computer is selected at random and it is found...
Cars are being produced by two factories, but factory I produces 2 3 of the cars...
Cars are being produced by two factories, but factory I produces 2 3 of the cars as compared to factory II. Factory I is known to produce 2% defectives and factory II produces 1% defectives. A car is randomly selected and examined to determine whether or not it is defective. (a) Draw a tree diagram to represent the situation and label all of the probabilities. (b) What is the probability the car is defective, if it came from factory I?...
A factory has in it four machines, A, B, C, and D that produce Smart Pencils....
A factory has in it four machines, A, B, C, and D that produce Smart Pencils. Machine A produces 40% of the factory's output with a 6% defective rate. Machine B produces 30% of the factory's output with a 5% defective rate. Machine C produces 20% of the factory's output with a 4% defective rate. Machine D produces 10% of the factory's output with a 3% defective rate. A pencil is selected at random and found to be defective. What...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that...
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 49% of all such batches contain no defective components, 27% contain one defective component, and 24% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.) (a) Neither tested component is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT