I think you need to subtitue the letters with the points on the graph and solve.
Answer:
<em>First option 5%</em>
Step-by-step explanation:
<u>Normal Distribution</u>
Gauss Distribution is one of the most widely-used continuous probability distribution to characterize random events. The curve of the function is called the bell curve.
The standard Normal Distribution is a special case where the mean and the standard deviation . The values of the cumulative normal distribution cannot be computed by simple calculations, we must use tables of digital implementations integrated with tools like Excel or any online resource.
The entry for standard normal distribution is a parameter called the z-score, computed like shown below
The values provided in our problem are
Computing z results
By using any of the aforementioned resources, we compute the left-tail probability
We choose the first option 5%
Value
Succes:
Profit = 150000
Investment = 35000
Total income = 150000 + 35000 = 185000
Expected income: 0.27 * 185000 = 49950
Net expected value = expected income - investment = 49950 - 35000 = 14950
.
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
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