(Solved): 3.54 Determine whether the two random variables of Exercise 3.49 are dependent or independent. 3.49 ...

3.54 Determine whether the two random variables of Exercise 3.49 are dependent or independent. 3.49 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 (a) Evaluate the marginal distribution of $X$. (b) Evaluate the marginal distribution of $Y$. (c) Find $P(Y=3?X=2)$.