# Question

There are 5% defective parts manufactured by your production line, and you would like to find these before they are shipped. A quick and inexpensive inspection method has been devised that identifies 8% of parts as defective. Of parts identified as defective, 50% are truly defective.

a. Complete a probability tree for this situation.

b. Find the probability that a defective part will be identified (i.e., the conditional probability of being identified given that the part was defective).

c. Find the probability that a part is defective or is identified as being defective.

d. Are the events “identified” and “defective” independent? How do you know?

e. Could an inspection method be useful if the events “identified” and “defective” were independent? Please explain.

a. Complete a probability tree for this situation.

b. Find the probability that a defective part will be identified (i.e., the conditional probability of being identified given that the part was defective).

c. Find the probability that a part is defective or is identified as being defective.

d. Are the events “identified” and “defective” independent? How do you know?

e. Could an inspection method be useful if the events “identified” and “defective” were independent? Please explain.

## Answer to relevant Questions

There is a saying about initial public offerings (IPOs) of stock: “If you want it, you can’t get it; if you can get it, you don’t want it.” The reason is that it is often difficult for the general public to obtain ...You are responsible for a staff of 35 out of the 118 workers in a rug-weaving factory. Next Monday a representative will be chosen from these 118 workers. Assume that the representative is chosen at random, without regard to ...Continue to view this database as the sample space as in database exercise 1. a. Are the two events “training level A” and “training level B” independent? How do you know? b. Are the two events “training level A” ...a. What is a normal distribution? b. Identify all of the different possible normal distributions. c. What does the area under the normal curve represent? d. What is the standard normal distribution? What is it used for? e. ...It’s been a bad day for the market, with 80% of securities losing value. You are evaluating a portfolio of 15 securities and will assume a binomial distribution for the number of securities that lost value. a.* What ...Post your question

0