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set6

# set6 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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THE UNIVERSITY OF SYDNEY Math1005 Statistics Semester 2 Tutorial Week 6 2006 There will be a tutorial quiz(worth 10%) from 5 minutes after the hour till 35 minutes after the hour in week 7 - 4/9 to 8/9 Note it will be closed book. Tables and a sheet of formulae as on the electronic noticeboard will be supplied. 1. ( Multiple choice ) Let X ∼ B (10 , . 3) be a binomial random variable. P ( X 2) is: (a) 0.1493 (b) 0.8507 (c) 0.6778 (d) 0.6496 (e) 0.3828 2. ( Multiple choice ) E ( X ) and V ar ( X ) for the rv X in Q1(respectively) are: 3. ( Multiple choice ) Let X ∼ N (2 , 3 2 ). This tells us that the distribution of X is: (a) Binomial with mean 2 and variance 9 (b) Binomial with n = 2 and p = 9 (c) Normal with mean 2 and variance 3 (d) Normal with mean 2 and variance 9 (e) Normal with mean 0 and variance 9 4. ( Multiple choice ) Let X be a normal random variable with mean μ and variance σ 2 and let Z = ( X - μ ) . The mean and variance of (the standardized normal variable) Z (respectively) are:

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