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Batches that consist of 50 coil springs from a production
Chapter 3, Problem 177SE(choose chapter or problem)
Batches that consist of 50 coil springs from a production process are checked for conformance to customer requirements. The mean number of nonconforming coil springs in a batch is five. Assume that the number of nonconforming springs in a batch, denoted as X, is a binomial random variable.
(a) What are n and p?
(b) What is \(P(X \leq 2)\)?
(c) What is \(P(X \geq 49)\)?
Equation transcription:
Text transcription:
P(X \leq 2)
P(X \geq 49)
Questions & Answers
QUESTION:
Batches that consist of 50 coil springs from a production process are checked for conformance to customer requirements. The mean number of nonconforming coil springs in a batch is five. Assume that the number of nonconforming springs in a batch, denoted as X, is a binomial random variable.
(a) What are n and p?
(b) What is \(P(X \leq 2)\)?
(c) What is \(P(X \geq 49)\)?
Equation transcription:
Text transcription:
P(X \leq 2)
P(X \geq 49)
ANSWER:Solution:
Step 1 of 4:
It is given that there are 50 coil springs are there in a batch and is checked for conformance to customer requirements.
The mean number of coil springs that are nonconforming to customer requirements is 5.
Also, it is given that X denotes the number of coil springs nonconforming the customer requirements.
X is assumed to be the Binomial variate.
Using this we need to find the required values.