Recent content by arup

How do I use Maxima to solve the equation above? This is what I get from Maxima:(%i25) solve(1=210*p^8 - 480*p^7 + 280*p^6,p); 8 7 6 (%o25) [0 = 210 p - 480 p + 280 p - 1] how do I get value of p?

Thanks! Appreciate it.

My area of research is reliability of computer architecture. The problem that I am trying to solve is the following: There is a data array consisting of n elements. Each of n elements can fail independently with probability p. The entire data array will fail if there are more than k failures...

I see. Thank you. I am not familiar with numerical techniques to solve polynomial f(x) A quick look at wikipedia/wolfram shows that there are many different root finding algorithms. Can anybody suggest what method should be used to solve the equation I noted earlier? and what tool...

Thanks for the reply. But from the equation P(X≤x)=0.9 =\sum_{k=0}^x {n\choose k}p^k(1-p)^{n-k} how do I solve for p? i.e., how do I express p as a function of (0.9,x,n)? I am not sure how to do that using algebraic manipulation?

I have a question about binomial distribution There is a random var X follows Binomial distribution ~B(n,p), where n is known but p is UNKNOWN. It is also known that a for known value of x, CDF(x) = Pr(X<=x) = 0.9 Is there anyway to estimate p? To give a concrete example, if n=8...

Thanks Chiro and Viraltux. I am using simulations. However just wanted to use QT to make sense of some of the results from simulation. Even in the situation that I described above, I guess, I can still use one queue instead of 25 Qs, if I assume traffic mix remains fairly constant, such...

Let me see if I can describe an analogous situation. 1. Let's assume my Queue is a "multi-cuisine" restaurant. The restaurant has 10 tables (10 entries in the queue). 2. The restaurant offers 25 different cuisine and has one chef exclusively for each cuisine (so, 25 chefs in total). 3. The...

I am trying to use Queuing Theory to do some computer architecture studies . Is there any mathematical treatment of Queuing Theory in which there is single queue but multiple classes of traffic along with multiple servers such that for every class of traffic there is one dedicated server...