Search results

Regarding the square unit problem , yes, is 1/4 , and yes, I get the same answer by changing that. 1/4+1/2(PI/4)= 1/8(2+Pi). I made that stupid mistake. Regarding the flea, I agree with the reasoning but din't do the calculation.

Because the square has 4 sides therefore both points can be on side 1 or side 2.... or side 4 ( these are possible cases) and total number of cases are 10( one point on side 1 and the other on side 2 etc.......) so probability of both points on the same side is 4 out of 10 or 2/5. These are...

"Prob 1. Two points are randomly selected on the sides of a unit square. Find the probability that the distance between them is less than unity." I think this way. You have 4 out 10 chances of being both points on the same side with probability 1 and 4 out 10 times of being inadjacent times...

13. Suppose x_1, x_2...x_n are IID from [0,1] uniform interval. What is the expected value of the maximum. N/N+1

Hi nsbzroro I reconsider my answers. 1- The milk, water cup is the same, as you said. 2- the mean time to get back to A in the square problem, you are right as well. Regards

Hi nbzxroro Yes, you are right , I made a mistake on that one Thanks for showing it

Hello Andriy I didn't look at any book and I think is much easier to understand what I did. First the rule for a triangle is that one side has to be less than the addition of the others and greater than the difference, if you study that , you will find that , in order to form a triangle, the...

Hello nbszroro I am sorry, you didn't understand my solution and it's right. Review it .( I changed the i=0,50 instead i=1,50, I missed the 0, sorry). It does not fail for neither case (remember 0!=1). Sumatory of 100!/((2i!)*(100-2i)!), where i=0,50. Regards Question: A stair of 100...

Q7. Lim (1/2^(N+1))Sum(N!/(i!*(N-i)!)*(3i+2-N), N->Inf and i=1,N Q8. 1/4

Question: A stair of 100 steps. You can either climb either one step or two steps but no more each time and you can walk up entire stair any way you like with rule above obeyed. How many possible combinations of ways to finish the walk? The result is Sumatory of 100!/((2i!)*(100-2i)!), where...

Hello I disagree with Nbzxroro in several things , the most important is: "Question: A square with four corners A,B,C,D. Suppose you start from corner A and have equal chance to go to neighboring corners B and D; After reaching new corner, you again have equal chance to go to its two...

Question number 3( 5 thieves to share 100 coins) I think I would give 1 coin to the 4th and 1 coin to the 5th and keep 98 for me. But if you want to be 100% you will survive then keep 96 for you and give 2 coins to the 4th and 5th guys. Regards

Hello Feng I got the same admits as you got , and I was also concerned with Chicago placement, although , in my case, I will go to the remote program at Stamford,CT, therefore location is not an issue. CMU seems to be a little bit better but I really think this is because they publish all the...