For the following exercise, determine the range (possible values) of the random
ID: 3070951 • Letter: F
Question
For the following exercise, determine the range (possible values) of the random variable, X. A batch of 300 machined parts contains 8 that do not conform to customer requirements. The random variable is the number of parts in a sample of 4 parts that do not conform to customer requirements. Choose the correct answer. O The range of X is [0, 1,2, 3, 4, 5, 6 The range of X is 10, 1,2,3) O The range of X is [0, 1,2,3,4 O The range of X is [0, 1, 2, 3, 4, 5) O The range of X is (0, 1,2, 3, 4, 5, 6,7Explanation / Answer
1:
There are 8 defective components and sample size is 4. The number of defective parts can be 0, 1, 2, 3, and 4.
The is range of X is {0, 1, 2, 3, 4}
2:
There are 520 parts out of which 520 -10 = 510 are good and 10 are defective, So possible number of selected parts until we find one defective is 1 to 511. That is range of variable is:
{1, 2, 3,...511}