Saturday, January 16, 2010

Fox 229


  1. Answer is A.

    But I need integral calculus to solve it.

    By simmetry of circle, the expected value is two times the value on interval [0,pi].

    min(x)=0 & max(x)=2

    p(x)=1/pi uniformly in [0,pi]. Where p(x) is distribution of probability of variable x.

    x/2=1*sin(alpha/2), alpha=angle between sides of triangle formed by ladybugs and center of circle.

    x=2*sin(alpha/2) & dx = cos(alpha/2)

    E[x]=2*int(0_2){x*p(x))=2*int(0_pi){(1/pi)*sin(alpha)d(alpha)} = 4/pi.

    Note: int(a_b){f(x)} is integral between limits a & b of function f.


  2. Do not use all of these Private Money Lender here.They are located in Nigeria, Ghana Turkey, France and Israel.My name is Mrs.Ramirez Cecilia, I am from Philippines. Have you been looking for a loan?Do you need an urgent personal or business loan?contact Fast Legitimate Loan Approval he help me with a loan of $78.000 some days ago after been scammed of $19,000 from a woman claiming to be a loan lender from Nigeria but i thank God today that i got my loan worth $78.000.Feel free to contact the company for a genuine financial call/whats-App Contact Number +918929509036 Email:(