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. What is the probability that an error will be found by all of the tests? 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? What is the probability that a problem will be found for the "packaging consistency" only? What is the probability of finding an error of at least one of the tests? Hint: You can use your complement rule here.
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. What is the probability that an error will be found by all of the tests? 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? What is the probability that a problem will be found for the "packaging consistency" only? What is the probability of finding an error of at least one of the tests? Hint: You can use your complement rule here.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
Related questions
Question
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.
- What is the
probability that an error will be found by all of the tests? - 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?
- What is the probability that a problem will be found for the "packaging consistency" only?
- What is the probability of finding an error of at least one of the tests? Hint: You can use your complement rule here.
Expert Solution
Formulas :
Note: "Since you have posted a question with multiple sub -parts, we will solve first three sub parts for you. To get remaining subpart solved please re post the complete question and mention the sub parts to be solved".
Let A, B and C are said to be three independent events then the probability formulas are given by
- P (A and B and C) = P(A)P(B)P(C)
- P(AUBUC) = P(A)+ P(B)+ P(C) – P (A and B) – P(A and C) – P( B and C) + P(A and B and C)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill