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1 answer:
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Answer:
a
The average cost is
b
The standard deviation of cost is
Step-by-step explanation:
From the question we are told that
The cost of replacing the two component is C = 50 + 2 X + 4 Y
The variance of X is mathematically represented as
V(X) =
Substituting values
The variance of Y is mathematically represented as
V(Y) =
Substituting values
The average of replacing the two component is
substituting value
The variance of replacing the two component is
Note: The variance of constant is zero
and X and Y are independent
=>
substituting values
=>
=>
=>
The standard deviation is
substituting values