Continuous random variables4. Let X be a continuous random variables with pdf. Find the mean and Var(X).express your answer in fractionfor x ≥ 1f(x) =0otherwise

Obtain the value of E(X). The value of E(X) is obtained below as follows: From the information,…

Answered: Continuous random variables 4. Let X be…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 9CC

See similar textbooks

Similar questions

Let X - T(28). Find P40(x) (50th percentile of X)
The intensity of a hurricane is a random variable that is uniformly distributed on the interval [0, 3]. The damage from a hurricane with a given intensity y is exponentially distributed with a mean equal to y. Calculate the variance of the damage from a random hurricane. (A) 1.73 (B) 1.94 (C) 3.00 (D) 3.75 (E) 6.00
R1
The amount of water in a reservoir at the beginning of the day is a random variable X and theamount of water taken from the reservoir during the day is a random variable Y . The joint pdffor X and Y isf (x, y) ={1/200, 0 < y < x < 20;0, otherwise.Use the distribution function technique to find the pdf of the amount of water left in thereservoir at the end of the day
Find the mean of random variable of X, if X is random variable with pdf f(x) = c(1-x²), -1
A random variable has a PDF f (x) i) The value of C. ii) P (X> 2). CS Scanned with CamScanner = C 25-x² 9 -5
'Time headway' in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X be the time headway for two randomly chosen consecutive cars (in seconds). Suppose X has pdf f(x) = {* F(x) (a) Find the value of k. (b) Obtain the mean value of headway and the standard deviation of headway. (c) The cdf of X is = x > 1 x ≤ 1 0 1- x ≤ 1 x>1 Using the cdf, determine the following probabilities. (i) What is the probability that observed depth is at most 3? (ii) What is the probability that observed depth is between 3 and 2?
Find the mean value of y = x Between x =1 and x = 2
According to recent data the survival function for life after 63 is approximately given by S(x) = 1-0.052x-0.078x² where x is measured in decades. This function gives the probability that an individual who reaches the age of 63 will live at least x decades (10x years), longer. a. Find the median length of life for people who reach 63, that is, the age for which the survival rate is 0.50. ye years (Round to the nearest whole number as needed.)
P(z>2) =?
An insurer's annual fire losses, X is a random variable with density f(2) = { 2e-2x x > 0 otherwise Find the absolute value of the difference between the mean and median of X.
Suppose X has a continuous uniform distribution over the interval -1,1. Determine the variance. Round your answers to 3 decimal places.

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS

Continuous random variables 4. Let X be a continuous random variables with pdf. Find the mean and Var(X).express your answer in fraction f(x) = for x ≥ 1 otherwise 0