Pad 12:54 PM * 97% webassign.net 9. 6.5/10 points | Previous Answers DevoreStat7
ID: 3314527 • Letter: P
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Pad 12:54 PM * 97% webassign.net 9. 6.5/10 points | Previous Answers DevoreStat7 5.P001 My Notes Ask Your 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 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. (Give answers to 2 decimal places.) p(x,y) 0 0 0.10 0.04 0.02 x 1 0.07 0.19 0.08 2 0.06 0.14 0.30 (a) what is P(X = 1 and Y = 1)? 0.19 (b) Compute P(X S 1 and Y S 1) 0.42 (c) Give a word description of the event {X 0 and Y 0) At most one hose is in use at both islands. O At least one hose is in use at both islands. One hose is in use on one island one hose is in use on both islands Compute the probability of this event. 0.71 (d) Compute the marginal pmf of X Px(x) 0 0.16 10,34 2 0.50 Compute the marginal pmf of Y Py(y) 0 0.16 1 0.34 2 0.50 Using pyfx), what is P(X S 1)? 0.50 (e) Are X and Y independent rv's? Explain P(x,y)s px(x) * py(y), sox and Y are not independent. P(x,y) px(x) * py(y), so X and are independent P(x,y) x(x)*Py(), so X and Y are not independent. P(x,y) = px(x) * py(y), so X and Y are independent. OExplanation / Answer
from above:
b)P(X<=1; Y<=1) =P(X=0; Y=0)+P(X=0; Y=1)+P(X=1; Y=0)+P(X=1; Y=1) =0.40
d)
y P(y) 0 0.2300 1 0.3700 2 0.4000Related Questions
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