Question

**5) **Given below is a bivariate distribution for the random variables *x* and *y*.

f(x, y) | x | y |

0.2 | 50 | 80 |

0.5 | 30 | 50 |

0.3 | 40 | 60 |

- Compute the covariance and correlation for
*x*and*y*. Are*x*and*y*positively related, negatively related, or unrelated? - Is the variance of the sum of
*x*and*y*bigger, smaller, or the same as the sum of the individual variances? Why?

Step 1

**Obtain the mean of x and mean of y:**

The mean of x is, sum(xf(x.y) =E(x)=37 and mean of y is, sum(yf(x.y)=E(y) =59

Step 2

**Obtain the variance of x:**

The variance of x is,

Step 3

**Obtain the variance of y:**

The varian...

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