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Homework 1

Homework 1 - (11.88 recalculate the mean and variance...

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Homework 1 Due Monday, April 6 th 2009 1. Read through the review material handouts found on my class website, http:// www.uweb.ucsb.edu/~nbennett/PSTAT120B/120b.htm 2. Read – Ch. 1, Sec 6.1-6.4 3. Hand in the following problems: 1.11 – page 12 2.16 – page 33 2.76 – page 56 2.90 – page 59 2.133 – page 74 3.38 – page 110 4.25 – page 172 4.91 – page 190 4.92 – page 190 Extra Problem 1 : Find the sample mean and variance of the data given in problem 1.4 – page 6. Now remove the largest observation in the data set

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Unformatted text preview: (11.88); recalculate the mean and variance. Notice that one large observation has a significant impact on the sample mean and variance. Extra Problem 2 : If you have two jointly distributed random variables, you can define the conditional expectation of one given the other has already attained a certain value. More specifically If the density for X and Y is given by Find E[Y|X=0.5]. Make sure that your problems are legible, well organized, justified, and finished....
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