CSI 779, Spring 1995, J. E. Gentle

Assignment due Feb xxx6xxx Feb 13!

Use S-Plus for the following questions.  Email to me your answers,
including your S-Plus code.  (If your S-Plus code is more than a few
lines on any question, try to shorten it, before mailing it.)

1. Use Monte Carlo to estimate the integral of x*exp(x)*sin(x) 
   from 1 to 3.

2. Use Monte Carlo to estimate the integral of x*exp(-x)/(1 + exp(-x))^2
   over the real line.  (Note this has a logistic weight.)

3. Compute a nonparametric bootstrap estimate of the standard
   deviation of the correlation coefficient between the two columns 
   of the data in law.dat in my directory.  
   (Use matrix(scan("law.dat"), ncol=2) to bring the data into S-Plus.