Recent content by FaradayLaws

If Y1,Y2,Y2 ~ Multinomial with parameter (n,p1,p2,p3) Prove that the conditional distribution of Y1 given Y3=m (m<n) is a binomial with ( (n-m), p1/(p1+p2) ) p1+p2+p3=1 y1+y2+y3=n y3=m My Attempt: P( Y1=y1| y3=m) = P(Y1=y1, Y3=m)/ P(Y3=m) ( n choose m and y1 ) p1^y1*p3^m / ( n...

Problem: Suppose that the probability that a head appears when a coin is tossed is p and the probability that a tail occurs is q=1-p. Person A tosses the coin until the first head appears and stops. Person B does likewise. The results obtained by persons A and B are assumed to be independent...

Homework Statement A manufacturing plant utilizes 3000 electric light bulbs whose length of life is normally distributed with mean 500 hours and standard deviation 50 hours. To minimize the number of bulbs that burn out during operating hours, all the bulbs are replaced after a given period...

oh okay; once working with the other end => summation from y0 =0 to y0-1 of q^y0-1 p < 0.9 with the change of variables l= y0-1 summation from l=0 to l of q^l p < 0.9 now finding the partial sum of the geometric series p/(1-q) < 0.9 0.3/ 0.3 < 0.9 i'm stuck here ? how do i get the value...

Question: If Y has a geometric distribution with success probability .3, what is the largest value, y0, such that P(Y > y0) ≥ .1? Attempt: So i represented the probability of the random variable as a summation Sum from y0= y0+1 to infinity q^(yo+1)-1 p ≥ .1 using a change of variables...

Thanks ! So the sample space contains 3^3= 27 possibilities and each sample point is associated with probability of 1/27.

Hello I have been stuck on these two probability questions. Homework Statement 1) Patients arriving at a hospital outpatient clinic can select one of three stations for service. Suppose that physicians are assigned randomly to the stations and that the patients therefore have no station...

Homework Statement I have two problems from my differential equations assignment that I'm having difficulty with. I would appreciate some guidance! Homework Equations http://img10.imageshack.us/img10/3397/questionsk.th.jpg The Attempt at a Solution for no.10 I used reduction of...