Solution Found!
A batch of 350 samples of rejuvenated mitochondria
Chapter 2, Problem 109E(choose chapter or problem)
A batch of 350 samples of rejuvenated mitochondria contains 8 that are mutated (or defective). Two are selected from the batch, at random, without replacement.
(a) What is the probability that the second one selected is defective given that the first one was defective?
(b) What is the probability that both are defective?
(c) What is the probability that both are acceptable?
Questions & Answers
QUESTION:
A batch of 350 samples of rejuvenated mitochondria contains 8 that are mutated (or defective). Two are selected from the batch, at random, without replacement.
(a) What is the probability that the second one selected is defective given that the first one was defective?
(b) What is the probability that both are defective?
(c) What is the probability that both are acceptable?
ANSWER:
Step 1 of 3
Given that a batch of 350 samples contains 8 defective
We are selecting 2 from the batch, without replacement
a) We have to find the probability that the second one selected is defective given that first one was defective
If the first one is defective there are 7 defectives in the batch
Out of 500 one defective is taken out then there are 349 containers
P(2nd one is defective when 1st one was defective) = 7/349
= 0.0201
___________________________________________________________________________