B4090.HW4Notes - BTRY 4090 STSCI 4090 Spring 2011 Homework...

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BTRY 4090 / STSCI 4090 Spring 2011 Homework 4 Notes As with the earlier homeworks, the hard part of most questions is figuring out what to do. The actual operations are usually pretty straightforward. Sometimes they involve cumbersome expressions, for example, working with a normal distribution whose mean and / or variance may be complicated to write; in cases like this, just substitute an appropriate simple symbol, for example, define μ * = {complicated expression}, work things out using μ *, and when you are finished, substitute the {complicated expression} for μ *. Some hints: 2. Larsen & Marx p. 333, Question 5.7.4. The first step is to see that you can make things easier by replacing ˆ n with ˆ ( ) ( ) n n n , where ˆ ( ) n n E , as we did in an example in lecture. This seems more complicated, but the cross-product term simplifies as we saw, and the remaining terms easily give you what you need to answer the question.
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