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Step-by-step explanation:
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Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
68 defective out of 400:
This means that 
From the shipment you take a random sample of 25.
This means that 
Standard deviation for the number of defective parts in the sample:

The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The coefficients of the y terms are -3 and 2. The least common multiple of 3 and 2 is 6. So multiply the first equation by 2 and the second equation by 3, so that the y terms have a coefficient of 6.
4x − 6y = 42
-18x + 6y = 21
The signs are opposite, so add the equations together.
-14x = 63
x = -9/2
Answer: x-2 is not a factor
Step-by-step explanation: Divide using synthetic division. if the remainder is 0, then x-2 is a factor.