GT
This page lists questions and answers that were posted by visitors named GT.
Questions
The following questions were asked by visitors named GT.
Length of Hospital Stays: The average length of “short” hospital stays for men is slightly longer thatn that for women: 5.2 days vs. 4.5 days. A random sample of recent hospital stays for both men and women revealed the following. At ? = 0.01, is there su...
12 years ago
A truck of mass 3000 kg is harnessed to a trailer (Trailer A) of mass 1000 kg. The trailer is hooked to ANOTHER trailer (Trailer B) of mass 500 kg. The truck begins to accelerate to the right at 1 m/s2, pulling the trailers along. What is the ratio of the...
12 years ago
For every positive integer n, consider all monic polynomials f(x) with integer coefficients, such that for some real number a x(f(x+a)−f(x))=nf(x) Find the largest possible number of such polynomials f(x) for a fixed n<1000. Details and assumptions A poly...
12 years ago
Answers
The following answers were posted by visitors named GT.
5) If K=1 then the probability is (1/3)*(3/4)+(2/3)*(1/4) If K=2 then (1/3)*(1/4)*(3/4)+(2/3)*(3/4)*(1/4) If K=3 then (1/3)*(1/4)^2(3/4)+(2/3)*(3/4)^2*(1/4) For K=n then (1/3)*(1/4)^(n-1)(3/4)+(2/3)*(3/4)^(n-1)*(1/4) We are looking for the expected value...
7 years ago
@Hamzeh I think the right answer is: 20*(3^6-2*3*(2^6)-3)=1335/5832=0/2289
7 years ago
@cle we are trying to calculate the sum of (1-p)^(x-1)=1+(1-p)^2+(1-p)^4+....+(1-p)^2k=1+sum(1-p)^2k for k=1,2,..... Thus (using the sum of geometric series formula we get => 1+(1-p)^2/(1-(1-p)^2)=1+(1-p)^2/(2p-p^2)=1/(2p-p^2) pY(2)=1/2p*1/(2p-p^2)=1/2*1/...
7 years ago