Answered: Let X be a continuous random variable…

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.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 23E

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Let X be a continuous random variable with range [0,1] and its probability density function is given by:

f(x)=ax^2+bx+c

where a , b , and c are constants.

Suppose that E(X)=9/20 and V(X)=31/400 . Find a , b , and c

Find P(0.7≤X≤1)

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Let X be a continuous random variable with range [0,1] and its probability density function is given by: f(x)=ax^2+bx+c where a , b , and c are constants. Suppose that E(X)=9/20 and V(X)=31/400 . Find a , b , and c a= b= c= Find P(0.7≤X≤1) Ans: