# Question: A manufacturing process produces semiconductor chips with a known failure

A manufacturing process produces semiconductor chips with a known failure rate of 6.3%. Assume that chip failures are independent of one another. You will be producing 2,000 chips tomorrow.

a. What is the name of the probability distribution of the number of defective chips produced tomorrow?

b. Find the expected number of defective chips produced.

c. Find the standard deviation of the number of defective chips.

d. Find the (approximate) probability that you will produce fewer than 130 defects.

e. Find the (approximate) probability that you will produce more than 120 defects.

f. You just learned that you will need to ship 1,860 working chips out of tomorrow’s production of 2,000. What are the chances that you will succeed? Will you need to increase the scheduled number produced?

g. If you schedule 2,100 chips for production, what is the probability that you will be able to ship 1,860 working ones?

a. What is the name of the probability distribution of the number of defective chips produced tomorrow?

b. Find the expected number of defective chips produced.

c. Find the standard deviation of the number of defective chips.

d. Find the (approximate) probability that you will produce fewer than 130 defects.

e. Find the (approximate) probability that you will produce more than 120 defects.

f. You just learned that you will need to ship 1,860 working chips out of tomorrow’s production of 2,000. What are the chances that you will succeed? Will you need to increase the scheduled number produced?

g. If you schedule 2,100 chips for production, what is the probability that you will be able to ship 1,860 working ones?

## Answer to relevant Questions

A union strike vote is scheduled tomorrow, and it looks close. Assume that the number of votes to strike follows a binomial distribution. You expect 300 people to vote, and you have projected a probability of 0.53 that a ...You expect a mean of 1,671 warranty repairs next month, with the actual outcome following a Poisson distribution. a. Find the standard deviation of the number of such repairs. b. Find the (approximate) probability of more ...Compare the “probability of being within one standard deviation of the mean” for the exponential and normal distributions. a. What is a population? b. What is a sample? Why is sampling useful? c. What is a census? Would you always want to do a census if you had the resources? a. What is an estimator? b. What is an estimate? c. A sample standard deviation is found to be 13.8. Is this number an estimator or an estimate of the population standard deviation? d. What is the error of estimation? When ...Post your question