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The probability that a lab specimen contains high levels
Chapter 2, Problem 149E(choose chapter or problem)
Problem 149E
The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are independent.
(a) What is the probability that none contain high levels of contamination?
(b) What is the probability that exactly one contains high levels of contamination?
(c) What is the probability that at least one contains high levels of contamination?
Questions & Answers
QUESTION:
Problem 149E
The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are independent.
(a) What is the probability that none contain high levels of contamination?
(b) What is the probability that exactly one contains high levels of contamination?
(c) What is the probability that at least one contains high levels of contamination?
ANSWER:
Solution:
Step 1 of 3:
Given lab specimen contains high levels of contamination is 0.10.
The number of samples are 5, these are independent.
Let A be the event lab specimen contains high levels of contamination.
Then P(A) = 0.10.
a). To find the probability that none contain levels of contamination.
Thus,
= 1- 0.1
= 0.9
Then, probability that none of five samples contain high level of contamination =
= 0.59
Therefore, the probability that none of five samples contain high level of contamination is 0.59.