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:
I think this is a true or false if so the answer is true:)
The equation is 2.5x + 2y - 2 = 0.
<h2>Linear system</h2>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
He bought 2.5 pounds of apples that are x dollars a pound.
And 2 bags of lettuce for y dollars each.
The total cost is $2.
<h3>To find </h3>
The equation of this.
<h3>How to find the equation?</h3>
He bought 2.5 pounds of apples that are x dollars a pound.
Then the expression is 2.5x
And 2 bags of lettuce for y dollars each.
Then the expression is 2y
The total cost is $2.
Then the expression will be
2.5x + 2y = 2
2.5x + 2y - 2 = 0
Thus the equation is 2.5x + 2y - 2 = 0.
More about the linear system link is given below.
brainly.com/question/20379472
Answer:
D.
Step-by-step explanation:
y-intercept is (0, 3)
x-intercept is (4.5, 0)
formula to find the slope from two points is
then the slope of the line that crosses (0, 3) & (4.5, 0) is
