A certain market has both an express checkout line and a super-express checkout line. Let X₁ denote the number of customers in lineat the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkoutat the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table.X2012300.08 0.08 0.040.0010.05 0.130.05 0.06X120.050.04 0.10 0.0630.000.03 0.04 0.074 0.00 0.01 0.05 0.06The difference between the number of customers in line at the express checkout and the number in line at the superexpress checkoutis X1 X2. Calculate the expected difference.-

Step 1: Recall that E[X1-X2]=E[X1]-E[X2] due to linearity of expectation. Step 2: We just need to…

Answered: A certain market has both an express…

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...

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llustration 19.18.. A sample study of the population of two districts gives that in district A the percentage of male population is 52% while this is the figure for the female percentage in the B district. If the size of the sample selected was in district A and B as 400 and 625 respectively, can both of these samples be taken to come from a population where the percentage of males and females is equal?
A building contains 1000 lightbulbs. Each bulb lasts at most five months. The company maintaining the building is trying to decide whether it is worthwhile to practice a “group replacement” policy. Under a group replacement policy, all bulbs are replaced every T months (where T is to be determined). Also, bulbs are replaced when they burn out. Assume that it costs $0.05 to replace each bulb during a group replacement and $0.20 to replace each burned-out bulb if it is replaced individually. How would you use simulation to determine whether a group replacement policy is worthwhile?
A nutritionist is looking at the connection between hours of TV watched and choice of sugary snacks in children identified as at risk for obesity. He asks children to document the number of hours of TV they watch and the number of sugary snacks they eat each day as shown in the first three columns of the following table. In this table, fill in the missing values in the XY column, and then calculate ΣXY. Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) XY A 3 3 9 B 1 3 C 2 1 2 D 4 2 8 E 5 4 ΣXY =42 Fill in the missing values in the X² column of the following table, and then calculate ΣX². Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) X² A 3 3 9 B 1 3 1 C 2 1 D 4 2 16 E 5 4 ΣX² =55 Fill in the missing values in the X – 1 column and the (X – 1)² column of the following table, and then calculate Σ(X – 1)². Child Hours of TV Watched (X)…
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WebAssign + → X CO TE ICTTET EER .... .... ...... H...... How profitable are different sectors of the stock market? One way to answer such a question is to examine profit as a percentage of stockholder equity. A random sample of 26 retail stocks such as Toys 'R' Us, Best Buy, and Gap was studied for x1, profit as a percentage of stockholder equity. The result was x1 = 13.6. A random sample of 33 utility (gas and electric) stocks such as Boston Edison, Wisconsin Energy, and Texas Utilities was studied for x2, profit as a percentage of stockholder equity. The result was x2 = 10.1. Assume that o1 = 4.2 and o, = 3.3. (a) Categorize the problem below according to parameter being estimated, proportion p, mean u, difference of means µ1 - µ2, or difference of proportions p1 - P2. Then solve the problem. O µ1 - 42 O p P1- P2 (b) Let µ̟ represent the population mean profit as a percentage of stockholder equity for retail stocks, and let u2 represent the population mean profit as a percentage of…
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Defective concrete on a construction site can be caused by either poor workmanship (selection and grading of material, pouring, curing) or poor aggregate, or both. The quality of the aggregate is affected by the quality of the workmanship, and vice versa. W = poor workmanship, A = poor aggregate On a given project: P(A) = 0.25 P(W | A ) = 0.33 P(A | W) = 0.18 What is the probability of poor workmanship, P(W), on the project to 3 decimal places?
A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, the daily revenue generated by the machine is R = 1600 − 50Y 2. Find the expected daily revenue for the extruder.
Environment-friendly agricultural practice includes the application of pesticides when it is really necessary, e.g., at the beginning of a pest emergence. Such practice, depending on the field conditions, and the reaction of growers, for the same level of “alert”, inspired this question.Assume that in the middle of the growing season in a given area, there is one pest emergence every two weeks on average. There is a generalized emergence of pests in a given area. At this stage of the emergence, not all growers decide to apply pesticides, hoping that the emergence will be brief or without implication for their field. Accordingly, assume 75% of the growers in that area at that time decide to apply pesticides. a) What is the probability that among five growers randomly sampled, two decide not to apply pesticides? b) What is the probability that among 10 randomly sampled growers, more than nine decide to apply pesticides?

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