Data Analysis

Overview

Demonstrate that you know exactly what the question is asking (don't be vague!) and that you are comfortable with the terminology/ symbology such as P(A).

On an assembly line, there are 3 "checkpoints" at which a widget is inspected for defects. Upon review of prior data, the following is noted:

• The test for product integrity finds a problem 26% of the time
• The test for product specifications finds a problem 19% of the time
• The test for packaging consistency finds a problem 38% of the time

(It's not a particularly good assembly line!)

Assume for purposes of this problem, that all of the tests / checkpoint problems are independent of each other.

1. What is the probability that an error will be found by all of the tests?
2. What is the probability that an error will be found by any one of the tests? That is, a problem on the first, or second, or third test?
3. What is the probability that a problem will be found for the "packaging consistency" only?
4. What is the probability of finding an error of at least one of the tests?Hint: You can use your complement rule here.