Answered: Find the variance and standard…

Find the variance and standard deviation of a continuous random variable with the given p.d.f. The p.d.f. of a random variable X is f (x) = 2x for 0≤ x ≤1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 9E

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Question

Find the variance and standard deviation of a continuous random variable with the given p.d.f. The p.d.f. of a random variable X is f (x) = 2x for 0≤ x ≤1

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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