2/12 points | Previous Answers DevoreStat9 5.E.001 My Notes Ask Your Teacher A s

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2/12 points | Previous Answers DevoreStat9 5.E.001 My Notes Ask Your Teacher A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. p(x, y) 0 2 0 0.10 0.04 0.02 1 0.07 0.200.08 2 0.05 0.140.30 (a) what is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) = 0.07 1) (b) Compute P(X 1 and Y P(X 1 and Y 1)-

Explanation / Answer

a) P(x=1 and y=1) is the interdection of x=1 and y=1, which is 0.2

b) P(x<=1 and y<=1) =P(0,0)+P(1,1)+P(1,0)+P(0,1)=0.1+0.04+0.07+0.2=0.41

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