A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1 , drawn from the 8, will not contain a defective computer. What is the probability that a sample of 1 of the 8 computers will not contain a defective computer?

Question

Mathematics

Adalynn Pham

2 September, 15:10

A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1 , drawn from the 8, will not contain a defective computer. What is the probability that a sample of 1 of the 8 computers will not contain a defective computer?

+3

Answers (1)

Know the Answer?

Chelsea · Answer 1

0.5

Step-by-step explanation:

Total computers in the shipment = 8

Number of computers with defects = 4

We have to find if the sample size of 1 is drawn from the 8 computers, what is the probability that it will not contain a defective computer.

Drawing a sample size of 1 is equivalent to selecting 1 computer on random. So, in short we have to find the probability of randomly selecting a computer which is not defective.

Since, out of 8 computers, 4 are defective, so, the remaining 4 will be without defects.

Probability is defined as ratio of favorable outcomes to total number of possible outcomes.

Possible outcome here is any of the 8 computers. So number of possible outcomes is 8.

Favorable outcome is selecting the computer without defect. So, number of favorable outcomes = 4

Thus, the probability of selecting a computer without defect = 4/8 = 0.5