Suppose a random variable x follow a normal distribution of N[0,( 1 3 ) 2 ]. Let z = 9x 2 , what is the distribution of z? What is its mean, i.e. E(z)? [Hint: a 2x 2 = (ax) 2 and use the property of the normal distribution and Chi-square distribution.]
Suppose a random variable x follow a normal distribution of N[0,( 1 3 ) 2 ]. Let z = 9x 2 , what is the distribution of z? What is its mean, i.e. E(z)? [Hint: a 2x 2 = (ax) 2 and use the property of the normal distribution and Chi-square distribution.]
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 10E
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