Answer:
0.40517 is the probability
Step-by-step explanation:
The first thing to do here is to calculate the corresponding z-score
Mathematically;
z-score = x-mean/SD
from the question,
x = 78, mean = 75 and SD = 12.5
Plugging these values in the z-score equation, we have;
z-score = (78-75)/12.5 = 3/12.5 = 0.24
So the probability we want to calculate is that;
P(z < 0.24)
we can get this by using the standard normal distribution table,
The value according to the table is;
0.40517
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Answer:
The correct answer is 10 for lowest average cost and the cost function is 0.2 + 75x + 20.
Step-by-step explanation:
Average cost function is given by = = C(x) = 0.2x + +75.
For minimizing we need to find C(x) = 0.
⇒ C(x) = 0.2 - .
⇒ = 0.2
⇒ = 100.
⇒ x = ±10
⇒ x = 10 ; cost cannot be negative.
Second order derivative is positive which implies the average cost minimizes.
Original cost function is given by C(x) × x = 0.2 + 75x + 20.
The answer is 6.625. :D .