# Question: assume that the random variables x and y have the...

###### Question details

Assume that the random variables X and Y have the joint distribution given in Table 4.6.

(a) What is P ( X ≥ 1 and Y ≤ 0)?

(b) What is the conditional probability that Y ≤ 0 given that X = 2?

(c) Are X and Y independent?

(d) What is the distribution of Z = XY ?