Chapter 6.6, Problem 30E

(a)

To determine

To calculate: The value of $g\left(x,y\right)$ for which $-1\le x\le 1\text{ and }-1\le y\le 1$.

(b)

To determine

To calculate: The probability that dart lands at a point in R where x and y are non-negative, where the joint probability function is $g\left(x,y\right)=\frac{1}{4}$.

(c)

To determine

To calculate: The probability that dart lands at a point in R where x or y, one is negative, where the joint probability function is $g\left(x,y\right)=\frac{1}{4}$.

(d)

To determine

The explanation for the probability of the dart landing on the origin is 0, where the joint probability function is $g\left(x,y\right)=\frac{1}{4}$.