You may need to use the appropriate appendix table or technology to answer this question.According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 emails per day.+ Suppose for a particularoffice the number of emails received per hour follows a Poisson distribution and that the average number of emails received per hour is three. (Round your answers to four decimal places.)(a) What is the probability of receiving no emails during an hour?0.0009X(b) What is the probability of receiving at least three emails during an hour?0.9704X(c) What is the expected number of emails received during 15 minutes?1.75X(d) What is the probability that no emails are received during 15 minutes?0.0175

Given Information: The number of emails received per hour follows a Poisson distribution. The…

Answered: You may need to use the appropriate…

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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Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil change facility will perform 40 oil changes between 10 AM and 12PM. Treating this as a random sample, there would be a 10% chance of the mean oil change time being at or below what value.
Media experts claim that daily print newspapers are declining because of Internet access. Listed below, from left to right and then top to bottom, are the numbers of daily print newspapers in a large region for a recent sequence of years. First find the median, then test for randomness of the numbers above and below the median using a = 0.05. What do the results suggest? 1620 1593 1570 1554 1547 1539 1524 1513 1488 1485 1477 1467 1455 1454 1455 1446 1433 1428 1408 1391 1380 The median is (Type an integer or a decimal. Do not round.) ~
A telemarketer calls individuals at home over the phone and ask them the likelihood that they will purchase a timeshare property over the next 12 months. This method of gathering data is known as direct observations O b. surveys O c. experiments O d. focus groups
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 24 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.7; H₁: p > 0.7 Ho: P = 0.7; H₁: P = 0.7 O Ho: P = 0.7; H₁: p 5 and nq > 5. O The Student's t, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic.…
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An airline offers discounted flights from Atlanta to five American cities. Below is a frequency distribution of the number of tickets purchased for each location based on a random sample of purchased tickets. Complete parts (a) through (f). Response Frequency Las Vegas Orlando New York Chicago San Diego 1268 814 1148 539 321 ... Question content area right Part 1 (a) Construct a relative frequency distribution of the data. Response Relative Frequency Las Vegas Orlando New York Chicago San Diego (Round to three decimal places as needed.)
When a student performs poorly on a midterm exam, the student sometimes is convinced that their score is an anomaly and that they will do much better on the final exam. The data below show the midterm and final scores (out of 100 points) for eight students in an introductory statistics class. Student Midterm Final 1 70 88 2 58 52 3 85 84 4 82 74 5 70 80 40 36 7 85 48 8 85 96 a) Construct a scatterplot for the data. Describe the pattern that you see in the scatterplot. Are there any clusters or outliers? If so, how would you explain them? b) Calculate the regression line for predicting a student's score on the final exam based on the student's score on the midterm.
2) Let X₁, X2, ..., Xn be a random sample from the pdf f(x;0) = 0xª−¹, 0≤x≤ 1,0 <0 < ∞. Find the MLE of 0 and show that its variance approaches 0 as n approaches ∞o.
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 25 were of males aged 15 to 34 years. Use a 10% level of significance to test the daim that the population proportion of such arrests in Rock Springs is different from 70%. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O H P 0.7 O H.: p - 0.7; H,: p 5 and ng > S. O The standard normal, since np > 5 and ng > 5. O The Student's t, since np
This cumulative review problem uses material from Chapters 3, 5, and 10. Recall that the Poisson distribution deals with rare events. Death from the kick of a horse is a rare event, even in the Prussian army. The following data are a classic example of a Poisson application to rare events. The data represent the number of deaths from the kick of a horse per army corps per year for 10 Prussian army corps over a period of time. Let x represent the number of deaths and f the frequency of x deaths. x 0 1 2 3 or more f 111 61 24 4 (a) First, we fit the data to a Poisson distribution.The Poission distribution states P(x) = e−λλx x! , where λ ≈ x (sample mean of x values). From our study of weighted averages, we get the following. x = Σxf Σf Verify that x = 0.605. Hint: For the category 3 or more, use 3. x = (b) Now we have P(x) = e−0.605(0.605)x x! for x = 0, 1, 2, 3 . Find P(0), P(1), P(2), and P(3 ≤ x). Round to three places…
Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____. a. 84 b. 87 c. 60 d. 20
Males of a specific bird breed leave their nesting territory for gathering food. The females will have to start looking for new partners if the their existing partners do not return in one week. If the time elapsed until the return of existing partners has a mean of 3.5 days, what percentage of females will be forced to look for new partners? O A. 0.135 O B. 0.249 O C. 0.865 O D. 0.751

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