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Unformatted text preview: Homework #7 February 19, 2006 Due Thursday, March 24 at 5pm in my mailbox 1 Chapter 5 1.1 Problems 3, 4, 6, 10, 11 1.2 Theoretical Exercises 1, 4, 7 For problem 1, the following result attained using a polar coordinate transformation will be needed: Z ∞-∞ e- y 2 dy = √ π. 1.3 Extra problems 1. For each of the four distributions given below, generate a random sample of 2000 observations (with SPlus) from the distribution and carry out the following. [In SPlus, you will need the functions: rbinom, rpois, rhyper, runif to generate these values. If you need help on how to use one of these functions (for example the rbinom function), type: help(rbinom) from the Commands window. At the bottom of the help instructions which will appear is an example of how to use the function.] ( i ) Binomial ( n = 25, p = 0 . 2) ( ii ) Poisson( λ = 5) ( iii ) Hypergeometric ( N = 40, m = 16, n = 10) ( iv ) Uniform(( a,b ) = (3 , 9)) (a) Make a histogram of the 2000 observations and describe the shape of this histogram in...
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- Spring '08
- Statistics, Mean, Estimation theory, data values, white car