Q#1: Let X denote the number of times a certain numerical control machine will malfunction: 1,
2, or 3 times on any given day. Let Y denote the number of times a technician is called on an
emergency call. Their joint probability distribution is given as: [0.5+0.5+1+1+1+1]
f x y ( , )
x
1 2 3
y
1 0.05 0.05 0.10
2 0.05 0.10 0.35
3 0.00 0.20 0.10
a) Evaluate the marginal distribution of X;
b) Evaluate the marginal distribution of Y;
c) Find the mean of X and Y;
d) Find the variance of X and Y;
e) Find the correlation coefficient between X and Y;
f) Interpret the result find in part (e).
Finding a professional expert in "partial differential equations" in the advanced level is difficult.
You can find this expert in "Assignmentexpert.com" with confidence.
Exceptional experts! I appreciate your help. God bless you!
Comments