Answer:
Step-by-step explanation:
Given that X and Y are independent random variables with the following distributions:
x -1 10 1 2 Total
p 0.3 0.1 0.5 0.1 1
xp -0.3 1 0.5 0.2 1.4
x^2p 0.3 10 0.5 0.4 11.2
Mean of X = 1.4
Var(x) = 11.2-1.4^2 = 9.24
y 2 3 5
p 0.6 0.3 0.1 1
yp 1.2 0.9 0.5 0 2.6
y^2p 2.4 2.7 2.5 0 7.6
Mean of Y = 2.6
Var(Y) = 11.2-1.4^2 = 0.84
3) W=3+2x
Mean of w =3+2*Mean of x = 7.2
Var (w) = 0+2^2 Var(x)= 36.96
The point M is given by coordinates; (8.5, 2.16)
<h3>Ratio coordinate</h3>
The ratio XM : MY is 5:1
Therefore, on the x-axis;
The coordinate of M can be evaluated as follows;
By Cross-product;
Similarly, on the y-axis;
The coordinate of M can be evaluated as follows;
By Cross-product;
Ultimately, the coordinate of point M is; (8.5, 2.16)
Read more on line ratio;
brainly.com/question/11764811
Answer:
108.173
Step-by-step explanation:
The constant term of the polynomial is 1
2x3 + 2x2 – 3x + <u>1</u>
