Answer:
The probability that the sample will contain exactly 0 nonconforming units is P=0.25.
The probability that the sample will contain exactly 1 nonconforming units is P=0.51.
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Step-by-step explanation:
We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.
We can write the probability mass function as:

where k is the number of non-conforming units on the sample of n=4.
We can calculate the probability of getting no non-conforming units (k=0) as:

We can calculate the probability of getting one non-conforming units (k=1) as:

In order for two lines to be parallel, they must have the dame slope. In this case, it is 7/6. So the new line Will have the next form:
y = 7/6x + b
Now, assuming that the new line passes through the point (1,1):
1 = 7/6*1 + b
b = -0.17
Replacing b:
y = 7/6x - 0.17
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