The answer to your question is 1 7/12
If you simplify the expression, it comes out to just 14.
Answer:
(a) Sample Space
(b) PMF
(c) CDF
Step-by-step explanation:
Solving (a): The sample space
From the question, we understand that at most 3 cars will be repaired.
This implies that, the number of cars will be 0, 1, 2 or 3
So, the sample space is:
Solving (b): The PMF
From the question, we have:
can be represented as:
Substitute and
Also note that:
Substitute and
Substitute
Solve for P(1)
To calculate others, we have:
Hence, the PMF is:
<em>See attachment (1) for histogram</em>
Solving (c): The CDF ; F(x)
This is calculated as:
For x = 0;
We have:
For x = 1
For x = 2
For x = 3
Hence, the CDF is:
<em>See attachment (2) for histogram</em>
36 divided by 3= 12, 3x12=36 and 12x3=36 divided by 3=12 and 36 divided by 12=3