PH661 Fall 2008
Statistical methods for physics and astrophysics
SOLUTIONS to Assignment #1
1. Consider 3 baseball players:
Player A was at bat 200 times, hitting .310;
player B was at bat 250 times, hitting .290;
player C was at bat 300 times, hitting .2
PH661 Fall 2008
Statistical methods for physics and astrophysics
Assignment #2 Thursday, August 28, 2008
1. Consider a random variable X which is symmetically distributed around 0, say a
uniform distribution dened in the [1, 1] domain. Consider the random
PH661 Fall 2008
Statistical methods for physics and astrophysics
Assignment #3 Thursday, Sept 4, 2008
1. Consider the random variable
x=
1
N
N
xi
(1)
i=1
where xi are identical independent random variables with mean and variance 2 . Show
that the variance
PH661 Fall 2008
Statistical methods for physics and astrophysics
Solution to Assignment #4 Monday, Sept 8, 2008
1. Consider a random variable Y given by the sum on N independent uniform variates
Xi in (0, 1),
N
Y=
Xi
(1)
i=1
(a) Find the mean and the vari
PH661 Fall 2008
Statistical methods for physics and astrophysics
Solution to Assignment #5
1. Consider a decaying radioactive source which is found to emit the following counts
in two contiguous time intervals of same duration T , where B is the number of
PH661 Fall 2008
Statistical methods for physics and astrophysics
Solutions to Assignment #6
1. A counter records gamma rays from a radioactive source. The number of counts,
including the background, are recorded in 1-minute intervals, as shown in the Tabl