Suppose that X is a continuous rv with pdf f(x) supported on 20. Let F(x) be the cdf. Show that E(X) = *° aƒ (x) dx = √ (1 —– F(x)) dr . 0 Hint: Since x > 0, you can write x = Sdt. Plug this into the definition of the expected value and swap the order of integration (and look at your Vector Calculus notes to confirm that you can swap the order of integration).
Suppose that X is a continuous rv with pdf f(x) supported on 20. Let F(x) be the cdf. Show that E(X) = *° aƒ (x) dx = √ (1 —– F(x)) dr . 0 Hint: Since x > 0, you can write x = Sdt. Plug this into the definition of the expected value and swap the order of integration (and look at your Vector Calculus notes to confirm that you can swap the order of integration).
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.
Chapter9: Multivariable Calculus
Section9.1: Functions Of Several Variables
Problem 34E: The following table provides values of the function f(x,y). However, because of potential; errors in...
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