Recent content by Dwolfson

Homework Statement Minimize ||cos(2x) - f(x)|| where f(x) is a a function in the span of {(1,sin(x),cos(x)} Where the inner produect is defined (1/pi)(integral from -pi to pi of f(x)g(x) dx) Homework Equations I found f(x) to be zero. Is this correct I am uneasy about this...

Homework Statement If H is a p-dimensional subsapce for R^n and {v1,...vp} is a spanning set of H, then {v1,...vp} is automatically a basis for H. True or False Homework Equations I am unsure of my answer. The Attempt at a Solution I am under the impression that this is...

I did eventually figure it out.. Thank you for the followup.

When Probability is strictly less than should I compute something like P(X<1) as: 1-P(X<1)^{c} = 1-P(X\geq1) Thanks, D

Stat Dad -- Thank you for your guidance on this problem -- I was terribly lost and had a very similar question!

Thanks... I like to work backwards.. now I can figure out the bounds. Appreciated.

Please look here -- I did some further work and plugged this thread into the proper message board: https://www.physicsforums.com/showthread.php?p=3019646#post3019646

Homework Statement 1. Let X , Y and Z be independent random variables, uniformly distributed on the interval from 0 to 1. Use Theorem 3.8.1 twice to find the pdf of W = X + Y + Z . Thm. 3.8.1 States: If X & Y are continuous random varibles wth pdfs fx(x) and fy(y), respectively then...

I am stumped. I have that W=X+Y+Z and that S=X+Y These are all X, Y, & Z and Independent and Uniformly Distributed on (0,1) I found the pdf of S to be (Assume all these < rep. less than or equal to): S when 0<S<1 2-S when 0<S<1 So I continued: To do pdf of S+Z=W I figured...