SOLUTION: The wheeling tire company produces a batch of 5000 tires that includes exactly 200 that are defective. a. if 4 tires are randomly selected for installation on a car, what is the p

Algebra.Com
Question 580769: The wheeling tire company produces a batch of 5000 tires that includes exactly 200 that are defective.
a. if 4 tires are randomly selected for installation on a car, what is the probability that they are all good?
b. If 100 tires are randomly selected for shipment to an outlet, what is the probability that they are all good? Should this outlet plan to deal with defective tires returned by consumers?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The wheeling tire company produces a batch of 5000 tires that includes exactly 200 that are defective.
a. if 4 tires are randomly selected for installation on a car, what is the probability that they are all good?
-------
P(defective) = 200/5000 = 1/25 = 0.04
P(good) = 0.96
---------------------
P(4 good) = 0.96^4 = 0.8493
=====================================
b. If 100 tires are randomly selected for shipment to an outlet, what is the probability that they are all good?
P(100 good) = 0.96^100 = 0.0169
-------------------------------------
Should this outlet plan to deal with defective tires returned by consumers?
I'll leave that to you.
Cheers,
Stan H.
============

RELATED QUESTIONS

a tire company produces a batch of 6000 tires that includes exactly 260 that are... (answered by ewatrrr)
in a lot of 20 tires, 3 are defective if you pick 4 tires at random what is the... (answered by ewatrrr)
The probability of getting a defective tire is .05. What is the probability that after... (answered by Fombitz)
a tire company manufactures tires with =35,600 miles and =4,925 miles. If a random sample (answered by stanbon)
From actual road tests with the tires, Hankook Tires estimated that the mean tire mileage (answered by Theo,ikleyn)
From actual road tests with the tires, Hankook Tires estimated that the mean tire mileage (answered by Boreal,ikleyn)
You bought a new set of four tires from a manufacturer who just announced a recall... (answered by reviewermath)
Tony drives 20 000 km in a car that has five tires, four of which are in use at any one... (answered by ikleyn)
Twenty tires are tested to see if they last as long as they claim they do. Three tire... (answered by sudhanshu_kmr)