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Sagot :
Answer:
Note: (What is asked is P73 and P80 million but what I have solution for is P73 to P80 million)
48.42% is the percentage of the branches that has a profit of P73 million to P80 million
Step-by-step explanation:
The given is as follows;
μ = 73
σ = 3.25
The formula for Z-Score is;
Z = X-μ/σ
X = 73;
Z = 73-73/3.25
Z = 0/3.25
Z = 0.00
By look at the table of z-scores 0 has an area of 0
X = 80;
Z = 80-73/3.25
Z = 7/3.25
Z = 2.15 (rounded up)
By looking at the z-score table the area for 2.15 is 0.4842
By drawing the normal curve, draw a vertical line on 0 for z=0 and draw a vertical line on 0.4842 for z=2.15
We can find the area between the z scores of 0 and 2.15 by subtracting;
0.4842 - 0 = 0.4842
So, the area between the z-scores of 0 and 2.15 is 0.4842
what percentage is asked so we can simply multiply 0.4842 to 100 to get 48.42%
therefore, 48.42% is the percentage of the branches that has a profit of P73 million to P80 million
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