APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 7.2, Problem 5P
To determine
Whether the given graph is probability density function or cumulative distribution function, find value of c and sketch the other function.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem. Suppose that the lifetime (x) of certain model
with a mean life of 5 years"
a. What is the probability distribution of the life of the car battery ?
b. Plot the probability density function, f(x) versus the lifetime of the car battery (x)
C. What is the probability that the life of the battery will be greater than 2 years?
d. What is the probability that the life of the battery is greater than 2 years but less than 4 years?
What is the var(x)?
car battery follows an exponential distribution
e.
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
Problem 14
The average waiting time for a patient to receive care at the emergency unit of a hospital is 3 hours. The waiting
time for a patient to be cared for at the emergency unit of that hospital is also known to follow an exponential
distribution. A patient walked into the emergency unit at 4pm.
a) Find the probability that the patient will be cared for in the next hour.
b) Find the probability that the patient will be cared for between 6pm and 8pm.
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
- Billy's Bank is the only bank in a small town in Arkansas. On a typical Friday, an average of 10 customers per hour arrives at the bank to transact business. There is one single teller at the bank, and the average time required to transact business is 4 minutes. It is assumed that service times can be described by the exponential distribution. Although this is the only bank in town, some people in the town have begun using the bank in a neighboring town about 20 miles away. If a single teller at Billy's is used, find (a) the average time in the line. (b) the average number in the line. (c) the average time in the system. (d) the average number in the system. (e) the probability that the bank is empty.arrow_forwardThe question of whether an optimal body size exists for different kinds of animals is one that is of great interest to biologists. The reproductive power P of an individual can be modeled, following the ideas of ecologist James H. Brown (see his book Macroecology, University of Chicago Press, 1995), as the harmonic mean of two limiting rates. The harmonic mean of two numbers a and b is the reciprocals of the average of the inverses of the two numbers: ab a+b a The two rates are a per-unit-mass rate R1 at which individuals acquire resources, and a per-unit-mass rate R, at which individuals convert those resources into new individuals; that is, P = R¡R2 R1+R2 Assuming both Rị and R2 are the following allometric functions of body mass measure in kilograms R1 = 2M³/4 and R2 = 4M¯1/4, find the body mass M that maximizes the reproductive power P, M = kg.arrow_forwardsub questions 1, 2 and 3 pleasearrow_forward
- QUESTION 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%A. l. https://docs.google.com/fo YO 4.4 O 3.96 O 1.8 نقطة واحدة Let X denote the number of colleges where you will apply after your results and P(X =x) denotes your probability of getting admission in x number of colleges. It is given that if x = 0 or 1 if x = 2 if x 3 or 4 otherwise kx, 2kx, P(X = x) 3= %3D k(5 - x), 0, Where k is a positive constant. Then the probability that you will get admission in at most 2 colleges is 0.625arrow_forwardDetermine each of the following areas and show these graphically. Use probability notation in your final answer. 1. Above z = 1.46 2. Below z = -0.58 3. Between z = 0.98 and z = 2.58arrow_forward
- Question 9 Neveah has purchased the life insurance policy for her iguana for the price of $100 per year and Neveah will receive $4000 in case if her iguana passes away. The insurance company estimated the probability of her iguana passing away during the length of the policy to be 0.1%. Let X be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for X: X outcome iguana passes away = profit ,$ P(X= x) -4000 X iguana survives 2. Use the probability distribution table to find the following: 0.001 4000 X 0.999 a. E[X] = μx 3992 dollars. (Round the answer to 1 decimal place.) b. SD[X]=ox 252.9 x dollars. (Round the answer to 1 decimal place.)arrow_forwardSuppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to $10 minutes. a. The lambda of this distribution is b. The probability that the length of a phone call is longer than 12 is P(x 2 12) = c. The probability that the length of a phone call is shorter than 5 is P(x s 5) = d. The probability that the length of a phone call is between 8 and 14 is P(8 s x s 14) = e. The 86th percentile is a phone call that lasts minutes.arrow_forwardA car rental agency only rents cars on a daily basis. Rented cars can be returned to any of the agency's three locations; A, B, or C. The figure to the right shows the percentages of cars returned to each of the locations based on where they were picked up. Assume that all cars are rented each day and that initially 20% of the cars are at location A, 40% at location B, and 40% at location C. (a) Set up the stochastic matrix that displays these transitions. A 80% Enter your answer in each of the answer boxes. 20% (b) Estimate the percentage of cars at location A after two days. After two days, approximately % of the cars are at location A. (Round to the nearest tenth as needed.) (c) In the long run, what fraction of cars will be at location B? In the long run, the fraction of cars at location B is 10% 20% 10% 20% B 10% 70% 60% ?arrow_forward
- The following table shows the average monthly distance traveled (in billion miles) by vehicles on urban highways for five different years. Urban Highways - Average Monthly Distance Traveled by Vehicles (Billion Miles) Years Jan Year 1 4.22 Year 2 4.31 Year 3 4.38 Year 4 4.45 Year 5 4.51 Feb Mar Apr May Jun July Aug Sep Oct Nov Dec 5.32 5.21 5.12 4.92 4.49 4.55 4.49 4.44| 4.39 4.37 4.35 4.68 | 4.74 | 4.79 4.88 4.92 5.44 5.34 5.24 4.98 4.59 4.68 4.65 4.61 5.51 5.36 4.63 4.85 4.89 4.98 5.01 5.41 4.71 4.78 4.82 5.59 5.5 5.41 4.72 4.78 4.79 4.82 5.06 5.11 5.65 5.62 5.49 5.12 4.8 4.88 4.82 4.95 5.12 5.22 5.44 a. Construct a time series plot. What type of pattern exists in the data? b. Use a multiple regression model to develop an equation to account for seasonal effects and any linear trend in the data. To capture seasonal effects, use the dummy variables Jan = 1 if month is January, 0 otherwise; Feb = 1 if month is February, 0 otherwise; ...; Nov = 1 if month is November, 0 otherwise; and…arrow_forwardSuppose that you are offered the following “deal”. You roll a die. If you roll a 1, you win $15. If you roll a 2, 3, or 4 you win $10. If you roll a 5, or 6, you pay $20. A. Complete the PDF Table. List the x values from largest to smallest. x P(x) [ Select ] ["1", "3", "15"] [ Select ] ["1", "0.5", "0.17"] [ Select ] ["3", "2", "10", "4"] [ Select ] ["1", "0.17", "0.5"] [ Select ] ["6", "5", "20", "-20"] [ Select ] ["0.5", "2", "0.17", "0.33"] B. Find the expected value. [ Select ] ["1.34", "1.07", "-0.19", "0.95"] C. Interpret…arrow_forwardProblem 1: Mendelev Company is a small producer of several coffee products. One of the products is Kapeng Barrack’o that is sold to retail outlets. Jensen Mendelev must decide how many boxes of the Kapeng Barrack’o to produce each month. The probability that the demand will be six boxes is 0.1, for seven boxes is 0.3, for 8 boxes is 0.5, and for 9 boxes is 0.1. The cost of every box is P400, and the price that Jensen gets for each box is P800. Unfortunately, any boxes not sold at the end of the month are of no value due to spoilage. How many boxes of Kapeng Barrack’o should Jensen produce each month?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
Thomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
Implicit Differentiation with Transcendental Functions; Author: Mathispower4u;https://www.youtube.com/watch?v=16WoO59R88w;License: Standard YouTube License, CC-BY
How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY