Question

1. If P(A)= 0.5, and P(B)=0.2, then P(A|B) = 

A.  0.7 

B. 0.3

C. 0.1

D. Cannot be determined from the given information 

2. denotes the number of parts available for assembly at a given station on an assembly line; denotes the number of parts available at another station on the same assembly line. The joint pmf of  and   is depicted below:

                                                                                                                                  X2

		0	1	2	3
	0	0.08	0.07	0.04	0.00
	1	0.06	0.15	0.05	0.04
X1	2	0.05	0.04	0.10	0.06
	3	0.00	0.03	0.04	0.07
	4	0.00	0.01	0.05	0.06

Find

(a)     

(b)  

(c)  The probability that there are twice as many parts waiting at one station than at the other.