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.
$$ \begin{array}{lc|ccc} & & & y & \\ p(x, y) & & 0 & 1 & 2 \\ \hline & 0 & 0.10 & 0.03 & 0.01 \\ x & 1 & 0.06 & 0.20 & 0.06 \\ & 2 & 0.06 & 0.14 & 0.34 \end{array} $$
(a) Given that X = 1, determine the conditional pmf of Y-i.e., pyix(011), pYix(111), pyx(211). (Round your answers to four decimal places.)
(b) Given that two hoses are in use at the self-service island, what is the conditional pmf of the number of hoses in use on the full-service island?
(c) Use the result of part (b) to calculate the conditional probability P(Ys 1| X= 2). (Round your answer to four decimal places.)
(d) Given that two hoses are in use. the full-service island, what is the conditional pmf of the number in use at the self-service island? (Round your answers to four decimal places.)
a)
y | 0 | 1 | 2 |
P(y|1) | 0.1875 | 0.6250 | 0.1875 |
b)
y | 0 | 1 | 2 |
P(y|2) | 0.1111 | 0.2593 | 0.6296 |
c) P(Y<=2|X=2)=0.1111+0.2593 =0.3704
d)
x | 0 | 1 | 2 |
P(x|2) | 0.0244 | 0.1463 | 0.8293 |
A service station has both self-service and full-service islands. On each island, there is a single...
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 is the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation У Р(x, у) 0 1 2. 0.10 0.05 0.01 1 0.06 0.20 0.06 X 2 0.05 0.14 0.33 (a) Given that X = 1, determine...
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. y p(x, y) 0 1 2 0 0.05 0.01 1 0.10 0.06...
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. y p(x, y) 0 1 2 x 0 0.10 0.03 0.01 1 ...
explain as much as possible, thanks 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 0 y 1...
A service station has both selt-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 partioular time, and let dencte the number of hoses on the full-service island in use at that time. The jeintpX and Y appears in the accompanying tabulation. n.05 ǚ.14 0.29 (a) Given that X 1, determine the conditional pmf of y-i e ortx(01),...
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) у 0 1 0.06 0 0.03 X 2 0.01 0.09 0.11...
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 Plx, y) 0 1 2 0 0.10 0.07 0.05 1 0.04 0.20...
Please answer all rest questions. Thanks! 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) у 0 1 2 0...
service sta: cr has both self-service and ful service islancs on each island, there is ฮ single opular uneeded pump et thet time The joint pmf uf X nd Y ppears in the ocumpanying tebulstion, (Give answers to 2 deomsl pleces) ith two hoses LetX derote the number cf hoses being used on the self-service islanc st pettua me, and let r dencte the number cr hcses on the full-serice Isl nd in use x,y) 0.20 0.14 (a: what is...
I want all parts answers, and the answer needs to correct. the answers need include from part a) to part n) h.) E(X) (Give decimal answer to two places past the decimal.) Tries 0/5 1.) E(Y) (Give decimal answer to two places past the decimal.) ries 0/5 j.) E(XY) (Give decimal answer to two places past the decimal.) Tries 0/5 k.) Cov(X,Y) (Give decimal answer to THREE places past the decimal.) Tries 0/5 1.) Standard deviation of X (Give decimal...