Answer :
Question:
For the following exercise, determine the range (possible values) of the random variable. A batch of 500 machined parts contains 10 that do not conform to customer requirements. Parts are selected successively, without replacement, until a nonconforming part is obtained. The random variable is the number of parts selected.
Answer:
Possible values are all integers from 1 to 491.
{1,2,...........491}
Step-by-step explanation:
Given:
Total number of machined parts = 500
Number that do not conform to customers requirements = 10
Number that conforms to customers requirements = 500 - 10 = 490
Since, parts are selected successively, without replacement, until a nonconforming part is obtained, the range of the random variable (number of parts selected) here will be all integers from 1 to 491 ie {1,2,...........,491}.
Here, we have a total of 490 conforming parts, and 10 non conforming parts, there must be a non-conforming part among 491 selections, considering the fact that total number of parts are 500
There will be one non-confirming part in the 491 selections and this can be determined by using the given data.
Given :
- A batch of 500 machined parts contains 10 that do not conform to customer requirements.
- Parts are selected successively, without replacement, until a nonconforming part is obtained.
Given that the total number of parts is 500 that contains 10 that do not conform to customer requirements. So, the total number of parts that conform to customer requirements is (500 - 10) 490.
It is also given that parts are selected successively, without replacement, until a nonconforming part is obtained so, the range of the random variables is [1,491]
So, there will be one non-confirming part in the 491 selections.
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https://brainly.com/question/23044118