For each probability density function, over the given interval, find E ( x ) , E ( x 2 ) , the mean, the variance, and the standard deviation. f ( x ) = 1 4 , [ 3 , 7 ]
For each probability density function, over the given interval, find E ( x ) , E ( x 2 ) , the mean, the variance, and the standard deviation. f ( x ) = 1 4 , [ 3 , 7 ]
Solution Summary: The author calculates the probability density function f(x)=14 over the interval [3,7].
Given the probability density function f(x)
over the interval (2, 5], find the expected value, the mean,
3
the variance and the standard deviation.
Expected value:
Mean:
Variance:
Standard Deviation:
Given the probability density function f(2)
over the interval [1, 3], find the expected value, the
%3D
mean, the variance and the standard deviation.
Expected value:
Mean:
Variance:
Standard Deviation:
Given the probability density function f(x) =
over the interval [2, 7], find the expected value, the mean,
5
the variance and the standard deviation.
Expected value:
Mean:
Variance:
Standard Deviation:
> Next Question
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.
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License