3. Xavier's production line and Yves' production line produce variable number of defective parts in an hour, with probabilities shown in the tables below.
The probability distribution of the random variable X, represents the number of defective parts in an hour produced by Xavier's production line.
| X | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| P(x) | 0.15 | 0.30 | 0.25 | 0.20 | 0.10 |
The number of defective parts produced each hour by Yves' production line is a random variable Y with the following probability distribution:
| Y | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| P(y) | 0.05 | 0.05 | 0.10 | 0.75 | 0.05 |
a. Compute the means/ expected values of X and Y.
b. Compute the variance of X and Y.
c. Compute the coefficient of variance of X and Y.
d. Interpret the variability of the two distribution.