Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of eight per hour.If it takes approximately ten minutes to serve each customer, find the mean and variance of the total service time in minutes for customers arriving during a 1-hour period. (Assume that a sufficient number of servers are available so that no customer must wait for service.)minminIs it likely that the total service time will exceed 3.0 hours? (Round your answer to three decimal places.)Since P(service time exceeds 3.0 hours) =,this is --Select- v event.

Solution-: Given: λ=8/hours We find (a) mean and variance (b) Is it likely the total service time…

Answered: Customers arrive at a checkout counter…

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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A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 525 with a standard deviation of 110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: H= 520, H,: µ> 520 %3D B. Ho: μ 520 С. Но: и> 520, Hа: p#520 D. Ho: и%3D520, Hа: p#520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = %3D
1) A researcher wants to know whether the number of hours students spent on social networking sites (e.g., Facebook, Instagram) is correlated with how long they study for final exams. The researchers asks 5 students at UCI to report their scores on these two continuous variables: Time on Social Networking Sites Time Spent Studying for Finals (hours) 2 5 7 3 9 (hours) 10 5 4 8 2 a) Create a scatter diagram for this correlation with Time on Social Networking Sites along the x-axis. b) Describe the pattern of the data points in terms of the strength and direction of the correlation.
It known that the average number of drop out per month 2.3. If you would like to predict the number of dropouts in a year, then the Poisson rate is?
Suppose that the lifetime of a particular component of a battery (in a container) is known to be approximately normally distributed with the mean 500 hours and standard deviation 50 hours. A purchaser requires at least 95 percent of them to have a lifetime greater than 399 hours. Will the component of a battery (in a container) meet the purchaser's specification?
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Let wages denote hourly wages, educ years of education, and exper years of experience, and suppose log(wages) = f1 + 62educ + B3exper +e where E[eleduc, exper] = 0. Let b1, b2, and bz be our estimates for B1, B2, and ß3 and r23 denote the sample correlation between {educ,}", and {exper, }". Which of the following statements is true? II O a. The variance of b3 does not depend on r23. O b. The variance of b, is increasing in E" (educ, – educ,)² (all else equal). O c. The variance of b2 is at least as large as o²/ E", (educ, - educ,)2 for o? Var(eleduc, exper). O d. The variance of b2 depends on the sign of r23. O e. The variance of b2 always increases as r23 increases (all else equal).
A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 76 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents. 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 76 years? Use a 10% level of significance. What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) Find the P-value. (Round your answer to four decimal places.)
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 11, 7, 6, 12, 8, 9, 10, 11, 10, 6, 8, 10, 10 What can be concluded at the αα = 0.10 level of significance? The null and alternative hypotheses would be: Please provide number H0:H0: mean = __?__ H1:H1: mean not equal to __?__ The test statistic t = __?__(please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)
Which of these graphs show a normal distribution probability?
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The time spent (in days) waiting for a heart transplant in two states for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts (a) and (b) below. u= 134 0=18.1 What is the shortest time spent waiting for a heart that would still place a patient in the top 30% of waiting times?
The items have a standard cost of $81/unit. The monthly demand for items is normally distributed with a mean of 220 and a standard deviation of 40. The annual holding rate is 23% and the ordering cost is $200/order. it takes 3 weeks to receive the ordered items from the supplier. (4 weeks in a month, 12 months in a year, 48 weeks per year) You have been ordering a quantity of 237 units every time the inventory level fall under 195 units. What is the average cycle stock considering your policy?

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