Recent content by DHB_Integral

I just tried out the integral bounds of phi , it can work getting the correct result. but It cannot convince myself in terms of the bounds of phi, based on the graph on page 1, it should be equal to pi/4. So, how to prove the bounds of phi? Please help with question. Thanks a lot in advance.

Homework Statement How to determine the integral bounds of phi in spherical polar coordinates. Please see my exact question at the end of page 2 of 2 in attachments. Homework Equations Please see my attachments The Attempt at a Solution Please see my attachments.

1. Find the expected value of the largest order statistic in a random sample of size 4 from the standard normal distribution. 2. Homework Equations E(X(4,4))=4∫xf(x)(F(x))^3dx, (from minus infinite to plus infinite), where f(x) is the probability density function of standard normal...