APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7.1, Problem 11P
To determine
Calculate the value of c if p(x) is a density function.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Rework problem 7 from section 4.3 of your text, involving filling in the missing entires in a probability density function. Use the following density function instead of the one in your text.
Value of X
Probability
Product
-3
(A)
-0.6
-1
(B)
-0.3
(C)
0.2
0.1
2
0.3
(D)
(1) What is the value of (A)?
(2) What is the value of (B)?
(3) What is the value of (C)?
(4) What is the value of (D)?
Need problem 4 density function is give in problem 2 second image
Show that if the exponentially decreasing function
if x 0
f(x) = LAe
is a probability density function, then A = c.
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
- Question 12. The proportion of Nguyen's and Lisa's Facebook friends that tweet, X, and Y, are jointly distributed according to the following density function f(x, y) = 6x²y, 0< x< 1, 0arrow_forward2. In probability, it is common to model the deviation of a day's temperature from the monthly average temperature using the Gaussian probability density function, f(t) = This means that the probability that the day's temperature will be between t = a and t = b different from the monthly average temperature is given by the area under the graph of y = f(t) between t = a and t = b. A related function is 2 F(1) = e2/9 dt, r20. This function gives the probability that the day's temperature is between t = -x and t = r different from the monthly average temperature. For example, F(1) = (0.36 indicates that there's roughly a 36% chance that the day's temperature will be within 1 degree (between 1 degree less and 1 degree more) of the monthly average. 1 (a) Find a power series representation of F(r) (write down the power series using sigma notation). (b) Use your answer to (a) to find a series equal to the probability that the day's temperature will be within 2 degrees of the monthly average.…arrow_forwardProblem 3.9: The speed distribution function for N particles in a fixed volume is given by: AV (B-V) B3 where V (> 0) is the particle speed, and A and B are positive constants. Determine: (a) The probability density function F(V). (b) The number of particles N in the volume. (c) The minimum speed Vmin and maximum speed Vmax. (d) The most probable speed where the probability density function is the largest. (e) The average speed V and the root-mean-square average speed Vrms = √V² f (V) =arrow_forwardQuestion 1. For two consecutive days, the p(x,y) (joint density function) of the average napping time of a baby is provided in the table as follows. X is the napping time on the first day and Y is the napping time on the second day). X a. 15 75 C. 120 156 20 0.06 Y 0.03 0.06 50 62 108 b. function of Y, given X=75. 0.09 0.14 0.04 0.01 0.04 0.01 0.04 0.12 0.03 0.09 0.08 0.04 What is the probability that the baby sleeps at most 100 minutes on the first day and at most 100 minutes on the second day? 0.12 Calculate the conditional probability mass Are X and Y independent RVs? Explain.arrow_forwardProblem 4. Let fx (x) be the probability density function of X, which is given by fx(x) = - -2x ce 0, " x > 2 otherwise (a) Find the value of c to make ƒx a valid probability density function. (b) Calculate the cumulative distribution function (c.d.f.) of X. (c) Calculate P(12 < X ≤ 25) using the c.d.f. from part (b). You do not need to simplify your answer.arrow_forward1. Suppose that for a certain life the probability density function is ,x >0 %3D 1+x Find (i) the survival function of x (ii) the probability that the life aged 34 will die within next 24 years. (ii) the probability that the life aged 54 will die between ages 76 and 82 year.arrow_forward3. A function g(r) is a probability density function if f g(x) dx = 1. Determine if the function if x 0 is a probability density function.arrow_forwardQuestion 2: What is the relationship between the density function (black line above) and the cumulative density function (red line above)?arrow_forwardQuestion 1. The joint density function of my lunch preparation time (in minutes) on two consequent days X and Y, p(x,y) is given below. (X denotes the preparation time on the first day and Y denotes the preparation time on the second day). 5 b 10 15 20 9 0.04 0.02 0.03 0.04 18 0.09 0.17 0.01 0.07 27 0.13 0.07 0.03 0.13 36 0.12 0.04 0.01 0.02 aCook What is the probability that the preparation time will take at least 10 minutes on the first day and at least 25 minutes on the second day? Calculate the conditional probability mass function of X, given Y=18. Are X and Y independent RVs? Explain.arrow_forwardEXAMPLE 4.3d Suppose that X and Y are independent random variables having the common density function x > 0 f(x) = otherwise Find the density function of the random variable X[Y.arrow_forward1. What two properties must a function f that is a probability density function exhibit?arrow_forwardQUESTION 4 Suppose X is a random variable with probability density function ƒ₁ (x) and Y is a random variable with density function ƒ₂ (x). Then X and Y are called independent random variables if their joint density function is the product of their individual density functions: ƒ(x, y) = f(x)ƒ₂ (y) We modelled waiting times by using exponential density functions if t < 0 ƒ(1)={u²³e-4₂ f(t) if t≥0 where is the average waiting time. In the next example, we consider a situation with two independent waiting times. The joint density function of X and Y is a function f of two variables such that the probability (x, y) lied in the region R is P((x, y) = R) = ſ[ƒ (x,y) dA [[ R The manager of a bank determines that the average time customers wait in line to take a queue number is 2 minutes and the average waiting time they queue before receiving the service at the counter is 20 minutes. Assuming that the waiting times are independent, find the probability that customers waits a total of less…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: 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. FreemanCalculus: 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
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License