Homework Assignment #2

1. Create a random sample of size 100 from the binomial distribution with n = 20 and p = 0.4. Display in a histogram. Find the sample mean and sample standard deviation. Compare these sample statistics with the theoretical values.
2. Repeat exercise 1 for the normal distribution with mean 40 and standard deviation 8.
3. Repeat exercise 1 for the Poisson distribution with lamba = 4.
4. Construct a 9 by 6 matrix where row i represents a probability mass function of the binomial distribution with n = 6 and p = i/10. Give meaningful names to the rows and columns. Print the matrix on screen rounding all numbers to four places.
5. Repeat exercise 4, but display the cumulative distrubtion function, P(X <= x) in each row.
6. For the binomial distribution with n = 5, find the probability of 3 or more successes for p = 0.01, 0.02, ..., 0.99. Graph the values versus p and display them in a graph with meaningful labels.