Problems1. Consider an database server designed to handle a maximum of 15 transactionsper second. During the peak hour of its activity, transactions arrive at the averagerate of 10 per second (10 s ¹). Assuming that the number of transactions arrivingper second follows a Poisson distribution, compute the probability that the serverwill be overloaded during a peak hour.

Answered: Image /qna-images/answer/04fe7d17-cfbc-46c7-a2f6-ed6c64863b07.jpg

Answered: Problems 1. Consider an database server…

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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Is there a link between dark chocolate and weight loss when compared to milk chocolate? A nutritionist gathers 60 people, selected at random, then randomly assigns half of the group to eat a single dark chocolate bar after dinner each night and the other half to eat a single milk chocolate bar after dinner each night for 6 months. Everyone is to keep track of the other food they eat in an app provided. The nutritionist then compares each person’s weight after the 6 months to their weight before eating the different chocolates accounting for the other calories consumed. 12) What type of study does this describe? a) Survey b) Observational study c) Experimental study
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 80 stocks traded on the NYSE that day showed that 11 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.02α=0.02.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…
Suppose you are a production manager for a small firm that manufactures designer phone cases. Your production facility utilizes three machines. Quality is binary — each phone case is either defective or it is not defective. Each hour, Machines 1, 2, and 3 produce 10, 10 and 20 phone cases, respectively. But because the machines differ slightly in their technology, data on past production has shown that they differ in terms of their rates of defective output — specifically, Machines 1, 2, and 3 have rates of defective production of 2%, 4%, and 5%, respectively. If one phone case is selected randomly from one hour’s total output, and that phone case is found to be defective, what is the probability that it was produced by Machine 1? Machine 2? Machine 3?
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 8.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. (b) Assuming his suspicion that 8.7% of his customers buy a magazine is correct, what is the probability that exactly 3 out of the first 14 customers buy a magazine? Give your answer as a decimal number rounded to two digits.
Consider a service facility with four clerks. Clerk one works at rate 14/hour; Clerk two at rate 18/hour; Clerk three at rate 20/hour; and Clerk four at rate 16/hour. All service times are independent and exponential. If when you arrive there is already one person waiting, what is your expected waiting time?
Suppose the following table was generated from a sample of 20 CEOs relating annual salary to years of experience and the industry in which they are employed. Indicator (dummy) variables were created for each Industry (1 if the CEO works in that industry, 0 otherwise). The Health Care Industry is considered the base-level industry. Intercept Experience Service Manufacturing Financial Coefficients 140037.615086 3292.653840 5938.697230 -14364.236092 17037.306498 Standard Error 4147.421168 231.558624 5270.795161 5408.963617 5303.248604 3.212617 t Stat 33.764985 14.219526 1.126718 0.277565 -2.655636 0.017988 0.005812 P-Value 0.000000 0.000000 Copy Data According to the results, if a CEO in the Health Care industry and a CEO in the Financial industry both have 24 years of experience, what is the estimated difference in annual salary between the two CEOs? Enter your answer below, rounded to two decimal places.
A factory uses three production lines to manufacture cans of a certain type. The accompanying table gives percentages of nonconforming cans, categorized by type of nonconformance, for each of the three lines during a particular time period. Line 1 Line 2 Line 3 Blemish 15 12 20 Crack 50 44 40 Pull-Tab Problem Surface Defect Other 21 28 24 10 4 8 8 15 1 During this period, line 1 produced 500 nonconforming cans, line 2 produced 600 such cans, and line 3 was responsible for 200 nonconforming cans. Suppose that one of these 1,300 cans is randomly selected. (a) What is the probability that the can was produced by line 1? (Round your answer to three decimal places.) What is the probability that the reason for nonconformance is a crack? (Round your answer to three decimal places.) (b) If the selected can came from line 1, what is the probability that it had a blemish? (c) Given that the selected can had a surface defect, what is the probability that it came from line 1? (Round your answer to…
Aleem tossed a coin 50 times and recorded the results in a frequency distribution table. Outcome Frequency Heads 22 Tails 28 What is the experimental probability of tossing a head?
A gerontologist investigating various aspects of aging process wanted to see whether staying “ lean and mean, “ that is, being under normal body inbred line to one of three diets: (1) unlimited access to food, (2) 90% of the amount of food that a rat of size would normally eat, or (3) 80% of amount of food that a rat of the size would normally eat. She maintained the rats on three diets throughout their lives and recorded their lifespans (in years). Five rates in each group. Is there evidence that diet affected life span in this study? Let α= 0.01 Complete the ANOVA table . Source of variation df SS MS Fc Treatment 2 1.575 Error 12 Total 14 5.60 A) Hypothesis Test H0: H1: B) Test Statistic C) Decision Rule d) Conclusion *(please with equations and explanation) and thamnk you

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