Name:
MS&E 4030/4050 Spring 2011
Statistics Exam
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thou
k0 N
i00
6
1.)
0 0 00
0 0 u 00 0 0 0 0 0
Jamie Tsai
0
Formula: (i) must be an integer, k=sum
k0 N
6
Probability 0Distribution
1
N
k
106i
i
N
k0106i
0 1dice
0
01 i
N
N
i
N01
i
N01
6
i00
N=5
Sum,k P(Sum)
Floor(k-N)/6)
Dice Probability Distribution for N=5
5
MS&E 4040 Fall 2011 - HW #1
1. Rolling of N dice and summing the pips generates a probability distribution for values bewteen N
and 6N . Obviously for N = 1 the distribution is a constant with 1/6 for each value. Consider the
case of N = 5. Calculate exac
MS&E 4040 Fall 2011 - HW #2
1. Consider a skewed uniform distribution function dened
0
1
[1 m(x x0 )]
pu (x|x0 , a, m) =
2a
0
as
if x < x0 a
if x0 a x x0 + a
if x > x0 + a
where |m| < 1
(a) Plot the probability distribution function p(x|x0 , a, m) schema
1
Introduction and General Comments
This document is intended for students who have heard the general language of probability applied to
experimental data analysis and are in need only of formalism and detail. Material presented is non-linear
and early se