Based on an analysis of sample data, an article proposed the pdf f(x) = 0.25e-0.25(x - 1) when x ≥ 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.)(a) What is the probability that waiting time is at most 9 sec? More than 9 sec?at most 9 secP(X ≤ 9) =more than 9 secP(X > 9) =(b) What is the probability that waiting time is between 3 and 4 sec?

Given that, X = time (sec) apent at the median line. Proposed pdf of x: f(x) = 0.25e-0.25(x-1) ,…

Answered: Based on an analysis of sample data, an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Based on an analysis of sample data, an article proposed the pdf f(x) = 0.35e−0.35(x − 1) when x ≥ 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 6 sec? More than 6 sec? (b) What is the probability that waiting time is between 3 and 7 sec?
Based on an analysis of sample data, an article proposed the pdf f(x) = 0.25e−0.25(x − 1) when x ≥ 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 7 sec? More than 7 sec? at most 7 sec P(X ≤ 7) = more than 7 sec P(X > 7) = (b) What is the probability that waiting time is between 4 and 9 sec?
Consider the continuous random variable X = the weight in pounds of a randomly selected newborn baby born in the United States last year. Suppose that X can be modeled with a normal distribution with mean μ = 7.57 and standard deviation σ= 1.26. If the standard deviation were σ = 1.06 instead, how would that change the graph of the pdf of X?
What is the Marginal PDF of f(x)=2? Is the event independent?
The probability distribution of the discrete random variable X is find the theoretical standard deviation of thevariable of interest using the positive square root of the formula:
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). b) What water-pumping capacity should the station maintain during early afternoons so that the probability that demand will be below the capacity on a randomly selected day is 0.995? c) Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?
Suppose that n observations are chosen at random from a continuous pdf fY(y). What is the probability that the last observation recorded will be the smallest number in the sample?
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). a)Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?
The operator of a pumping station has observed that demand for waterduring early afternoon hours has an approximately exponential distribution with mean 1000cfs (cubic feet per second).a) Find the probability that the demand will exceed 700 cfs during the early afternoonon a randomly selected day.b) What water-pumping capacity should the station maintain during early afternoons sothat the probability that demand will be below the capacity on a randomly selectedday is 0.995?c) Of the three randomly selected afternoons, what is the probability that on at least twoafternoons the demand will exceed 700 cfs? 2. Let Y1 and Y2 be random variables with joint density functionf(y1, y2) = (6/7(y^2+y1y2/2) 0 < y1 < 1, 0 < y2 < 2,0, elsewherea) Find marginal density functions. Are Y1 and Y2 independent?b) Find P(0 < Y1 < 0.3, −2 < Y2 < 1).c) Find P(0.6 < Y1 < 1|0 < Y2 < 1). 3.The joint density function of Y1 and Y2 is given byf(y1, y2) = (y1 + y2), 0 <…
a. What is the probability that the lifetime X of the first component exceeds 3? b. What are the marginal pdf's of X and Y? Are the two lifetimes independent? x. What is the probability that the lifetime of at least one component exceeds 3?
Battery life between charges for the Motorola Droid Razr Maxx is 25 hours when the primary use is talk time. The battery life drops to 12 hours when the phone is primarily used for Internet applications over cellular. Assume that the battery life in both cases follows an exponential distribution. a) What is the probability that the battery charge for a randomly selected Droid Razr Maxx phone will last no more than 15 hours when its primary use is talk time? Compute four decimal places b) What is the probability that the battery charge for a randomly selected Droid Razr Maxx phone will last more than 20 hours when its primary use is talk time? Compute four decimal places c) What is the probability that the battery charge for a randomly selected Droid Razr Maxx phone will last more than 5 hours when its primary use is Internet application? Compute four decimal places
Consider a random variable Y that follows an exponential distribution with a rate parameter of 0.5. What is the probability that Y is greater than 2?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS