3. A certain market has both an express checkout line and a superexpress checkout line. Let...
5.1A certain market has both an express checkout line and a superexpress checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. $$ \begin{array}{cc|cccc} & & \multicolumn{3}{|c} {x_{2}} \\ & & 0 & 1 & 2 &...
A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. x2 0 1 2 3 x1 0 0.09 0.07 0.04 0.00 1 0.05 0.15 ...
A grocery store has both a regular checkout line and an express checkout line. Let 푋1be the number of customers in the regular checkout line at a particulartime of day, and let 푋2be the number of customers in the express checkout lineat the same time. The joint PMF of 푋1and 푋2is given in the table below. 푋20123푋10.08.07.04.001.06.15.05.042.05.04.10.063.00.03.04.074.00.01.05.06(1) How do you know this is a valid PMF?(2) What is the probability that there areexactly two customers in each line?(3) What is...
A small market has two checkout lines, regular and express. Let X be the number of customers in line at a regular checkout, and Y that at the express checkout. At a particular time of the day, the joint probability mass function of X and Y is given by (a) Find the probability that the total number of customers at a given time is at most 1, that is find P(X+Y≤1) [1] (b) Fill in the table with the marginal distribution of...
Example 5.5 (Discrete case). Let X be a discrete random variable, r be its observation, and the pmf of X be given by 1 2345678 9 10 ac f (x:0) 0 0.58 0.02 0.05 0.03 0.11 0.01 0.07 0.04 0.09 f( 1) 0.6 0 0.06 0.08 0.03 0.01 0.04 0.12 0.02 0.04
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 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 &...
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 ...
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...
Question 4: Let X and Y be two discrete random variables with the following joint probability distribution (mass) function Pxy(x, y): a) Complete the following probability table: Y 2 f(x)=P(X=x) 1 3 4 0 0 0.08 0.06 0.05 0.02 0.07 0.08 0.06 0.12 0.05 0.03 0.06 0.05 0.04 0.03 0.01 0.02 0.03 0.04 2 3 foy)=P(Y=y) 0.03 b) What is P(X s 2 and YS 3)? c) Find the marginal probability distribution (mass) function of X; [f(x)]. d) Find the...