Homework

• Exercise1: Write an Splus program that simulates a system of n components connected in parallel.  Let the probability that a component fails be p. Estimate the probability that the system fails. 

• Exercise2: Using Splus plot:

  1) Bin(n = 10, p = 0.5), Poi(lambda = 5)

  2) Bin(n = 1000, p = 0.005), Poi(lambda = 5)

   

• Exercise3: Using Splus simulate n = 100 standard normal values, square each value, and plot.  Comment on the shape of the distribution.

• Exercise4: Using Splus plot

            1) the exponential p.d.f for lambda = 0.4, 1, 8

            2) the gamma p.d.f for alpha = 1, lambda = 0.4, 1, 8 and for alpha = 0.5, 1, 5, lambda = 2.5