A certain market has both an express checkout line and a super-express checkout line. Let \( X_1 \) denote the number of customers in line at the express checkout at a particular time of day, and let \( X_2 \) denote the number of customers in line at the super-express checkout at the same time. Suppose the joint probability mass function (pmf) of \( X_1 \) and \( X_2 \) is as given in the accompanying table.\[\begin{array}{c|cccc} & 0 & 1 & 2 & 3 \\\hline0 & 0.08 & 0.08 & 0.04 & 0.00 \\1 & 0.04 & 0.17 & 0.05 & 0.03 \\2 & 0.05 & 0.04 & 0.10 & 0.06 \\3 & 0.00 & 0.03 & 0.04 & 0.07 \\4 & 0.00 & 0.01 & 0.05 & 0.06 \\\end{array}\]The difference between the number of customers in line at the express checkout and the number in line at the super-express checkout is \( X_1 - X_2 \). Calculate the expected difference.\[\boxed{0.17}\]

Answered: at the superexpress checkout at the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Solve these questions using the data table below please
9. Evaluate x³+1 x+2 a. b. x3 x3 C. dx x³ + x² + 4x + 7 ln(x + 2) + C x² d. x3 + 4x ln(x + 2) + C 2 - ·x² + 4x - 7 ln(x + 2) + C + x² + 4x - In(x + 2) + C 3
If S = {a,b,c} with P(a) = P(b) and P(c) = 0.24, find P(a). (Enter answer as a decimal with at least 2 correct decimal places)
ObservationFemale Married Loan 1 2 3 4 5 0.75 0.25 0.5 1 O 0.33 0 1 1 1 0 1 1 1 1 0 1 1 0 Mortgage 0 1 Calculate the Jaccard coefficient between Observation 1 and Observation 5. 0 0 1 0
A certain market has both an express checkout line and a super-express 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. X2 1 3 0.08 0.08 0.04 0.00 1 0.07 0.11 0.05 0.06 X1 0.05 0.04 0.10 0.06 3 0.00 0.03 0.04 0.07 4 0.00 0.01 0.05 0.06 The difference between the number of customers in line at the express checkout and the number in line at the superexpress checkout is X, – X,. Calculate the expected difference.
3. 7 8. 10 An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is tht, then R (tht)=2. Suppose that the random variable X is defined in terms of R as follows: X=R-1. The values of X are given in the table below. tth hht hth thh ttt hhh htt tht Outcome Value of X 1 - 1 1 1 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X Px (x) Submit A Continue © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center étv MacBook Air DII DD F10 80 F9 F7 F8 F6 F4 F5 F2 F3 公云。 olo
Solve question (b) please using the data table below
1. Test whether the following expression is a valid CDF. The range of validity of the variable is 0 to ∞. If it is a valid CDF, obtain the corresponding pdf and its mean. If it is not a valid CDF, test whether it is a valid pdf? If it is a valid pdf, obtain the corresponding CDF and the mean. 2x x² A(x)-[1-exp(-) ++ [¹-exp(-²3)] -+-)] = exp 5 16 x² 8
y x1 x2 x3 x40.8 44711 739 586 7.41.6 27896 690 526 12.51.5 25435 728 566 29.61.4 31889 549 338 22.61.1 37503 931 825 19.61.4 32822 678 506 7.81.9 22833 923 820 10.70.9 36000 822 677 33.71.6 23497 405 146 23.31.7 25285 678 506 13.5
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. X2 1 3 0.09 0.07 0.04 0.00 1 0.05 0.15 0.05 0.04 X1 0.05 0.04 0.10 0.06 0.01 0.02 0.04 0.07 4 0.00 0.02 0.05 0.05 (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) = | (b) What is P(X, = x,), that is, the probability that the numbers of customers in the two lines are identical? P(X, = X,) = (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 X, 2 2 + Xq} O A = {X, s 2 + X2 U Xq 2 2 + Xq} O A = {X, s 2 + X2 U Xq S2+ Xq} O A = {X, 2 2 + X2 U Xq S2+ Xq} Calculate…

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS