Special Probability Density Functions In Exercises 29-34, identify the probability density function. Then find the mean, variance, and standard deviation without integrating.
To calculate: The mean variance and standard deviation of the probability distribution functions .
The probability distribution function is,
Where the interval of function is .
The formula for uniform probability density function is defined as:
This probability density function represents a continuous random variable for which each outcome is equally likely.
Formula used to find the mean of probability density function is,
, where is mean and formula used to find variance of probability density is and standard deviation or .
Consider the given equation:
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started
Single Variable Calculus: Early Transcendentals, Volume I
Precalculus: Mathematics for Calculus (Standalone Book)
Finite Mathematics and Applied Calculus (MindTap Course List)
Calculus: Early Transcendentals
Calculus: Early Transcendental Functions
Essentials Of Statistics
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus
Calculus (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Understanding Basic Statistics
Statistics for The Behavioral Sciences (MindTap Course List)
Mathematical Applications for the Management, Life, and Social Sciences
Mathematical Excursions (MindTap Course List)
Probability and Statistics for Engineering and the Sciences
Single Variable Calculus: Early Transcendentals
Elementary Technical Mathematics
Trigonometry (MindTap Course List)
Elementary Geometry For College Students, 7e
Contemporary Mathematics for Business & Consumers
Elements Of Modern Algebra
Calculus: Early Transcendental Functions (MindTap Course List)
Calculus of a Single Variable
Elementary Geometry for College Students
Finite Mathematics for the Managerial, Life, and Social Sciences