Question

A roll of plastic-coated wire has an average of 0.09 flaws per 5-meter length of wire....

A roll of plastic-coated wire has an average of 0.09 flaws per 5-meter length of wire. Suppose a quality control engineer will sample a 5-meter length of wire from a roll of wire 230 meters in length. If no flaws are found in the sample, the engineer will accept the entire roll of wire.
a. What is the probability that the roll will be rejected?
b. Before examining the sample, what is the probability that there are no flaws in the 230 meters of wire? What is the probability that there are exactly 3 flaws in the entire roll?
c. Based on your answers from parts (a) and (b), what is the probability that if there is at least one flaw in the entire roll, a randomly sampled 5-meter length of wire from that roll will have at least one flaw? [Hint: It may be helpful to recognize that if the roll has no flaws, the 5-meter length of wire will have no flaws.]
d. Given that no flaws were found in the sample, what is the probability that the entire roll has no flaws? Is sampling 5 meters of wire sufficient for determining if the entire roll has flaws? Why or why not?

Homework Answers

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
The number of surface flaws in a plastic roll used in the interior of automobiles has...
The number of surface flaws in a plastic roll used in the interior of automobiles has a Poisson distribution with a mean of 0.09 flaw per square foot of plastic roll. Assume an automobile interior contains 12 square feet of plastic roll. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that there are no surface flaws in an auto’s interior? (b) If 17 cars are sold to a rental company, what is the probability...
The number of surface flaws in a plastic roll used in the interior of automobiles has...
The number of surface flaws in a plastic roll used in the interior of automobiles has a Poisson distribution with a mean of 0.09 flaw per square foot of plastic roll. Assume an automobile interior contains 8 square feet of plastic roll. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that there are no surface flaws in an auto’s interior? (b) If 15 cars are sold to a rental company, what is the probability...
The number of surface flaws in a plastic roll used in the interior of automobiles has...
The number of surface flaws in a plastic roll used in the interior of automobiles has a Poisson distribution with a mean of 0.09 flaw per square foot of plastic roll. Assume an automobile interior contains 8 square feet of plastic roll. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that there are no surface flaws in an auto’s interior? (b) If 20 cars are sold to a rental company, what is the probability...
Suppose that magnetic tape made by a certain factory has an average of 1 flaw per...
Suppose that magnetic tape made by a certain factory has an average of 1 flaw per 60 meters of tape. If the distribution of these flaws is modeled by a Poisson process, find (a) the probability that a 100m section of tape will have at most 1 flaw. (b) the probability that a 75 meter section will have 3 or more flaws. (c) the maximum length of a section for which the probability that it will contain no flaws is...
2. In the month of April the average number of tornadoes per week in Oklahoma has...
2. In the month of April the average number of tornadoes per week in Oklahoma has historically been 3.5. (a) What is the probabilty there are at least 3 tornadoes in a random week (in April)? (b) What is the expected number of tornadoes in the entire month? You can pretend that there are exactly four weeks in April. What is the variance? (c) What is the probability that it takes 3 days before a tornado occurs? (d) What is...