A 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 X,denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table.130.080.060.040.001.0.050.150.040.040.050.030.100:0630.010.030.040.0740.000.010.050.09(a) What is P(X, = 1, X, = 1), that is, the probability that there is exactly one customer in each line?P(X, = 1, X2 = 1) = [(b) What is P(X, = X,), that is, the probability that the numbers of customers in the two lines are identical?P(X, = X2) = [(c) Let A denote the event that there are at least two more customers in one line than in the other line. Express A in terms of X, and X,.O A = {X, 2 2 + X2U X2 z2 + Xq}O A = {X, 2 2 + X2U X, s 2 + X,}O A = {X, s 2 + X,U X, z 2 + X,}O A = {X, s 2 + X,U X;'s 2 + X,}Calculate the probability of this event.P(A) =(d) What is the probability that the total number of customers in the two lines is exactly four? At least four?P(exactly four) =P(at least four) =Need Help?Read ItMacBook Pro"0.3"esc)#$%&@67891245

Given Information: Joint probability distribution function: x1 / x2 0 1 2 3 0 0.08 0.06 0.04…

A certain market has both an express checkout line and a superexpress checkout line. Let X, denote the number of customers denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is X2 0.08 0.06 0.04 0.00 0.05 0.15 0.04 0.04 X1 2. 0.05 0.03 0.10 0.06 0.01 0.03 0.04 0.07 4 0.00 0.01 0.05 0.09 (a) What is P(X, = 1, X, = 1), that is, the probability that there is exactly one customer in each line? P(X = 1, X, = 1) =| %3D

A certain market has both an express checkout line and a superexpress checkout line. Let X, denote the number of customers denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is X2 0.08 0.06 0.04 0.00 0.05 0.15 0.04 0.04 X1 2. 0.05 0.03 0.10 0.06 0.01 0.03 0.04 0.07 4 0.00 0.01 0.05 0.09 (a) What is P(X, = 1, X, = 1), that is, the probability that there is exactly one customer in each line? P(X = 1, X, = 1) =| %3D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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