Solution Found!
Suppose that a lot of washers is large enough that it can
Chapter 2, Problem 231MEE(choose chapter or problem)
Problem 231MEE
Suppose that a lot of washers is large enough that it can be assumed that the sampling is done with replacement. Assume that 60% of the washers exceed the target thickness.
(a) What is the minimum number of washers that need to be selected so that the probability that none is thicker than the target is less than 0.10?
(b) What is the minimum number of washers that need to be selected so that the probability that 1 or more washers are thicker than the target is at least 0.90?
Questions & Answers
QUESTION:
Problem 231MEE
Suppose that a lot of washers is large enough that it can be assumed that the sampling is done with replacement. Assume that 60% of the washers exceed the target thickness.
(a) What is the minimum number of washers that need to be selected so that the probability that none is thicker than the target is less than 0.10?
(b) What is the minimum number of washers that need to be selected so that the probability that 1 or more washers are thicker than the target is at least 0.90?
ANSWER:
Solution 231MEE
Step1 of 3:
From the given problem we have 60% of washers exceeds target thickness. From a group of ‘n’ selected washers, let us assume that X be the number of washers exceeds target thickness.
Here our goal is:
a). We need to find the minimum number of washers that need to be selected.
b). We need to find the minimum number of washers that need to be selected.
Step2 of 3:
a).
We know that the value of ‘n’ for which P(X = 0) < 0.1.
Now,