APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7, Problem 13SYU
To determine
To indicate that the statement “If P (t) is the cumulative function for a population, then P (30) is the fraction of the population with values above 30.” is true or false
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Two geysers that are near to each other are labelled as Geyser
A and Geyser B. The time between eruptions for a given geyser
follows an exponential distribution. The eruption times of the
two geysers are independent of one another. The mean
amount of time between eruptions of Geyser A is 39 minutes,
and the mean amount of time between eruptions of Geyser B
is 66 minutes. Given that exactly one of the geysers erupts
within the next 49 minutes, determine the probability that it
will be Geyser A.
O 0.6654
0.7850
O 0.7252
O 0.6953
O 0.7551
A scientist is interested in two different types of particles; type A and type B. The time that it takes for
a particle of type A to decay can be modeled as an exponential distribution with a mean of 75
minutes, and the time that it takes for a particle of type B to decay can be modeled as an
exponential distribution with a mean of 50 minutes.
Suppose that a container holds 10 particles; 7 of type A and 3 of type B. Assume that the rate at
which each of the particles decays is independent of all of the other particles in the container.
(1) Calculate the probability that the first particle to decay is of type A.
(2) Calculate the probability of the following event; "it takes at least 30 minutes for any of the
particles to decay, and the first particle that decays is of type B".
Suppose a group of consumers spend 30% of their disposable income on food, 20% on
clothing, and 50% on rent. If over the course of a year the price of food rises 10%, the price
of clothing drops 5% and rent rises 15%, what is the average price increase experienced by
these consumers?
Chapter 7 Solutions
APPLIED CALCULUS (WILEY PLUS)
Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 2PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Prob. 5PCh. 7.1 - Prob. 6PCh. 7.1 - Prob. 7PCh. 7.1 - Prob. 8PCh. 7.1 - Prob. 9PCh. 7.1 - Prob. 10P
Ch. 7.1 - Prob. 11PCh. 7.1 - Prob. 12PCh. 7.1 - Prob. 13PCh. 7.1 - Prob. 14PCh. 7.1 - Prob. 15PCh. 7.1 - Prob. 16PCh. 7.1 - Prob. 17PCh. 7.1 - Prob. 18PCh. 7.2 - Prob. 1PCh. 7.2 - Prob. 2PCh. 7.2 - Prob. 3PCh. 7.2 - Prob. 4PCh. 7.2 - Prob. 5PCh. 7.2 - Prob. 6PCh. 7.2 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 10PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13PCh. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 16PCh. 7.2 - Prob. 17PCh. 7.2 - Prob. 18PCh. 7.2 - Prob. 19PCh. 7.2 - Prob. 20PCh. 7.2 - Prob. 21PCh. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Prob. 3PCh. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 6PCh. 7.3 - Prob. 7PCh. 7.3 - Prob. 8PCh. 7.3 - Prob. 9PCh. 7.3 - Prob. 10PCh. 7.3 - Prob. 11PCh. 7.3 - Prob. 12PCh. 7 - Prob. 1SYUCh. 7 - Prob. 2SYUCh. 7 - Prob. 3SYUCh. 7 - Prob. 4SYUCh. 7 - Prob. 5SYUCh. 7 - Prob. 6SYUCh. 7 - Prob. 7SYUCh. 7 - Prob. 8SYUCh. 7 - Prob. 9SYUCh. 7 - Prob. 10SYUCh. 7 - Prob. 11SYUCh. 7 - Prob. 12SYUCh. 7 - Prob. 13SYUCh. 7 - Prob. 14SYUCh. 7 - Prob. 15SYUCh. 7 - Prob. 16SYUCh. 7 - Prob. 17SYUCh. 7 - Prob. 18SYUCh. 7 - Prob. 19SYUCh. 7 - Prob. 20SYUCh. 7 - Prob. 21SYUCh. 7 - Prob. 22SYUCh. 7 - Prob. 23SYUCh. 7 - Prob. 24SYUCh. 7 - Prob. 25SYUCh. 7 - Prob. 26SYUCh. 7 - Prob. 27SYUCh. 7 - Prob. 28SYUCh. 7 - Prob. 29SYUCh. 7 - Prob. 30SYU
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- A. B & Carrow_forwardif x 20 Find the following: P(X > 22) =| The cumulative distribution function of X: if x 20 The probability that at least one out of 8 devices of this type will function for at least 29 months:arrow_forwardTwo pilots (X and Y) are assigned to a flight from Atlanta to Chicago. Both need to be in the airport by 9pm, otherwise the flight will be delayed. Earlier in the day, X flies from Cedar Rapids and is scheduled to land at 8:30pm. Y arrives from Minneapolis and is scheduled to land at 8:30pm as well. Both flights are running late, and the delays are well modeled by exponential distribution with averages 20 minutes for the flight from Cedar Rapids and 15 minutes for the flight from Minneapolis. In detail please solve the following:i. Find probability that X lands by 9pm.ii. Find probability that flight to Chicago will have to be delayed.iii. Suppose that you have another pilot who could be assigned to Chicago flight, so you only need either X or Y. Find probability that flight to Chicago will depart on time.arrow_forward
- Suppose you are given the following data on real compensation per year (Y)and output per hour (X) in the business sector between 1989 - 2008. Year 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 Y 58.5 59.9 61.7 63.9 65.3 67.8 69.3 X 47.2 48.0 49.8 52.1 71.8 73.7 76.5 Year 1999 2000 2001 2002 2003 54.1 54.6 58.6 61.0 62.3 64.5 Compute the ordinary least square estimates and interpret the result. 2004 2005 Y 77.6 79.0 80.5 82.9 84.7 83.7 84.5 87.0 88.1 89.7 2006 2007 2008 X 64.8 66.2 68.8 71.0 73.1 72.2 74.8 77.2 78.4 79.5arrow_forward1. Over the past 40 years, the percentage of homes in the United States with smoke detectors has risen steadily, and has plateaued at about 96% as of 2015. With this increase in the use of home smoke detectors, we would expect that death rates due to home fires have decreased. The following table contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million people: Year 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Percentage of Homes with Smoke Detectors 0.48 0.65 0.72 0.74 0.75 0.8 0.79 0.83 0.84 0.86 0.88 0.9 0.95 0.96 0.97 0.96 0.96 Home Fire Deaths per Million People 23 20.9 17.4 20.6 19.5 19 17.7 16.3 13.7 14.5 14.4 13.1 11 11 10.3 8.5 8.2 a. Do you expect a positive or negative relationship between smoke detector use and deaths from home fires? Explain. b. Draw a scatterplot of these data. You can do it either by hand or using Excel. c. Compute the covariance and…arrow_forwardQUESTION 3. STATISTICS. An analyst in the real estate business is interested in the relationship between the cost of the monthly rent of an apartment and the size of an apartment, in big cities. She gathers data for apartment buildings in 12 cities in 12 different states. In each city, she gets the numbers for at least 5 different buildings and at least 40 apartments in each building. She reaches the following conclusion: the rental cost of a 2-bedroom apartment is 50% more than the rental cost of a 1-bedroom apartment, and the rental cost of a 3-bedroom apartment is 50% more than the rental cost of a 2-bedroom apartment. Based on the paragraph, what is the minimum number of apartments she collected data on? Do you think her sample was large enough to be statistically valid? Based on the paragraph, are there any apartments or apartment buildings that she would have excluded from her study? Do you see any bias in how she selected apartments for her study? Based on the paragraph, is…arrow_forward
- Students arrive one at a time, completely at random, to an advice clinic at a rate of10 per hour. Students take on average 5 minutes of advice but there is wide variation inthe time they need; this variation may be well modeled by the exponential distribution.a. Assume there is only one advisor serving in the clinic. Find the followingexpected measures of performance for this system: the expected time in the clinic, theexpected time in the queue for advice, the expected number of students in the clinic,and the expected number of students waiting for advice.arrow_forwardQuestion 3 Shoprite is a busy center for residents in East Legon and its surrounding community. Assume that 2 customers arrive every 12 minutes and 3 customers are served every 15 minutes and that currently, there is only one cashier. (i).Determine the average waiting time in minutes before service begins. (ii). Advice the management the proportion of the time that a customer has to wait. (B). Management perceives that the waiting time computed in (ii) above is not acceptable and is faced with two options. Management can either employ an assistant for the cashier or open a second cash machine. The former, if implemented, will enable 4 requests to be served every 15 minutes and the assistant will receive a monthly salary of GH₵160. The latter, if implemented will improve the arrival rate to 1 customer every 12 minutes. However, it requires an initial capital outlay of GH₵3000 and the cashier who will operate the cash machine will receive a monthly salary of GH₵250. The shop…arrow_forwardYou have the following data: Gasoline Sales during 2017.1 to 2020.4 (in 000 of barrels) Year and quarter Gasoline Sales Year and quarter Gasoline sales 2017.1 22434 2019.1 22776 2017.2 23766 2019.2 24491 2017.3 23860 2019.3 24751 2017.4 23391 2019.4 24170 2018.1 22662 2020.1 23302 2018.2 24032 2020.2 24045 2018.3 24171 2020.3 25437 2018.4 23803 2020.4 25272 (A)Using data on gasoline sales (in thousands of barrels) from the first quarter of 2017 to the last quarter of 2020, estimate the secular linear trend equation. (B) Accordingly, forecast gasoline sales for the four quarters of 2021. (C)Use the dummy variables methods to adjust the trend forecasts for the four quarters of 2021 you made in (B) above to take the seasonal variations into account.arrow_forward
- According to a high-profile realtor, houses in the sleepy town of Sun Beach have shown higher appreciation over the past three years than have houses in the bustling town of North Arden. To test the realtor's claim, an economist has found twelve recently sold homes in Sun Beach and twelve recently sold homes in North Arden that were owned for exactly three years. The following table gives the appreciation (expressed as a percentage increase) for each of the twenty- four houses. Appreciation rates in percent Sun Beach 12.5, 12.2, 10.4, 12.9, 6.5, 15.0, 10.1, 10.6, 12.1, 10.8, 10.4, 9.1 North Arden 9.2, 10.7, 9.7, 7.8, 9.7, 12.1, 9.4, 6.1, 7.8, 9.3, 4.6, 11.0 Send data to calculator v Assume that the two populations of appreciation rates are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that houses in Sun Beach have higher appreciation over the past three years than houses in North Arden? Perform a one-tailed test.…arrow_forwardA poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly agree" to the following statements. Statement 1 (happy with life) 1: At this time, I'm generally happy with my life. Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon. Year 2008 2009 2010 2011 2013 2015 2016 Happiness Index 32 34 34 36 32 35 30 Happy with Life Statement (percentage somewhat or strongly agree) 78 81 78 83 79 82 82 Won't Benefit Statement (percentage somewhat or strongly agree) 35 39 35 35 43 35 42 (a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer to four decimal places.) (b) Calculate the value of the correlation coefficient for Happiness index and…arrow_forwardA poll uses responses to several questions to calculate a "Happiness" index that measures overall happiness. An article included the happiness index for the 7 years between 2008 and 2016. Also included in the article were the percentages of people who responded "somewhat agree" or "strongly agree" to the following statements. Statement 1 (happy with life) 1: At this time, I'm generally happy with my life. Statement 2 (won't benefit): I won't get much benefit from the things that I do anytime soon. Year HappinessIndex Happy withLife Statement(percentagesomewhat orstrongly agree) Won't BenefitStatement(percentagesomewhat orstrongly agree) 2008 32 78 35 2009 34 81 39 2010 34 78 35 2011 34 81 37 2013 30 77 45 2015 31 78 39 2016 32 84 40 (a) Calculate the value of the correlation coefficient for Happiness index and the response to the Happy with life statement. (Round your answer to four decimal places.) (b) Calculate the value of the correlation coefficient…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License