Recent content by mattclgn

Awesome, thank you, and i apologize for the lateness of this reply...so by that rationale if it was 0 < T1 < T2 <T3< L, do I divide by three?

This technically isn't a coursework or homework problem: I have a uniform Joint density function for the lifetimes of two components, let's call them T1 and T2. They have a uniform joint density function, both are positive it follows, and the region is 0<t1<t2<L and L is some positive constant...

Okay, yeah, i got the right answer but did the wrong work! It looks like I miscounted and just didn't do it until ten...or rather I counted up ten and included zero so i had a count of ten, but set the bounds incorrectly. I got 10086.57319 *exp(-10) or .457929714. Okay, I'll try it again the...

please forgive the lateness of this response.

Not really, eventually guy i was studying with figured out...or rather just tried...I guess the expression is brute forcing it. It's basically Poisson, but several of them summed, in this case, sum of i=0 to 10 to the i power 10 being equal to (lambda*x) lambda is 10 as it is mean (10/hr) and x...

sorry should clarify, for a, I took the square root and it matched up with the answer in the back of the book.

Homework Statement Automobile accidents occur in the United States over a 72 hour holiday period like events in a Poisson process with parameter lambda=10/hr. V is the time until the 10th accident a) what is expected value of V or E[V] and standard deviation? b) What is the probability that V...

Homework Statement . The game of Clue involves six subjects, 6 weapons and 9 rooms. One of each is randomly chosen and the object of the game is to guess the three.[/B] a) how many solutions are possible In one version of the game, after the selection is made, each of the players is then...

Okay, cool, I'll give it a shot.

Homework Statement Let X and Y be independent random variables, both being equally likely to be any of the numbers 1, 2, ..., m. Show that E[(absolute value(X-Y))] = ((m-l)(m+1)) / 3m. Homework Equations None, I guess The Attempt at a Solution [/B] Okay so for sample space, since x and y...

Homework Statement Suppose that A, B, C are independent random variables, each being uniformly distributed over (0, 1). ) What is the probability that all the roots of the equation Ax2 + Bx + C = 0 are real? Homework Equations (b) What is the probability that all the roots of the equation...

Okay, i think I just skipped a step and did five dividing by 2!*2!. Other than that I think I did the same thing as my answer was the same.

You know what, that was my bad...I got some stuff mixed up and it's actually a question about order statistics NOT Beta distribution. I took 5!/(2!2!) *(1-x)^2 x^2 and integrated over 1/4 and 3/4. it got me the correct answer as per the book 0.79. I more or less copied a similar example and...

Okay, I'll give the book another look. The back only gave me the end result, the exact phrasing though was "Compute the probability that the median is in the interval 1/4, 3/4"

Homework Statement Consider a sample of size 5 from a uniform random distribution (0,1) . Computer the probability that the median is in the interval (1/4, 3/4). [/B]Homework Equations I guess... The Pdf of beta is and median is...I'm not sure...I would guess 1/2?[/B]The Attempt at a...