Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:
(b)
Compute the variance of X as follows:
(c)
Compute the value of P(X < 3.7) as follows:
![P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898](https://tex.z-dn.net/?f=P%28X%20%3C%203.7%29%3D%5Cint%5Climits%5E%7B3.7%7D_%7B1.3%7D%7B%5Cfrac%7B1%7D%7B6.2-1.3%7D%7D%5C%2C%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4.9%7D%5Ctimes%20%5Bx%5D%5E%7B3.7%7D_%7B1.3%7D%5C%5C%5C%5C%3D%5Cfrac%7B3.7-1.3%7D%7B4.9%7D%5C%5C%5C%5C%5Capprox%200.4898)
Thus, the value of P(X < 3.7) is 0.4898.
Answer:
y=mx+b
y=-4x +12 is your equation
m= yo
your slope
Step-by-step explanation:
Answer:
9/25 = 36%
Step-by-step explanation:
First add up all of the students (150)
Then divide 54 by 150, 0.36
0.36 = 36% = 9/25
Answer:
Based off of my calculations, I got 126
Step-by-step explanation:
The formula for area would be: A = L * W
So, when finding the width (W), you would need to divide the area (A) by the length (L).
Equation: W = A / L
Now you know the equation, all you need to do is plug in the numbers:
[84 divided by 2/3]
W = 84 / 2/3
After solving this, you would get: 126
So, W = 126.
To check if we got the correct answer, we could just multiply the length times the width:
126 * 2/3
Since this equation gives us 84 as the answer, 126 is the correct width.
