## Homework Assignment #2

- 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.
- Repeat exercise 1 for the normal distribution
with mean 40 and standard deviation 8.
- Repeat exercise 1 for the Poisson distribution with
`lamba = 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.
- Repeat exercise 4, but display the cumulative distrubtion function,
P(X <= x) in each row.
- 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.

Last modified: March 17, 1997

Bret Larget,
larget@mathcs.duq.edu