Consider the experiment: toss a balanced coin four times.
1.
Write down the equally likely outcomes sample space for this experiment
2.
What is the probability distribution function on this sample space?
3.
Dene a random variable
X
on this sample space: the number of heads which show. What are the
possible values of
X
?
4.
What is the probability distribution function for
X
?
5.
Use the pdf for
X
to nd the probability that the number of heads showing is between 1 and 3
(inclusive).
6.
Find the expected value of
X
and interpret it in terms of the frequentist (relative

Question

Consider the experiment: toss a balanced coin four times.
1.
Write down the equally likely outcomes sample space for this experiment
2.
What is the probability distribution function on this sample space?
3.
Dene a random variable
X
on this sample space: the number of heads which show. What are the
possible values of
X
?
4.
What is the probability distribution function for
X
?
5.
Use the pdf for
X
to nd the probability that the number of heads showing is between 1 and 3
(inclusive).
6.
Find the expected value of
X
and interpret it in terms of the frequentist (relative

anonymous · Answer

7.
Compute the variance and the standard deviation of
X
.

perl · Answer

1. 
HHHH 

HHHT
HHTH
HTHH
THHH

HHTT
HHTT
HTTH
TTHH
HTHT
THTH

HTTT
THTT
THHT
HHHT

TTTT

anonymous · Answer

How can i do number two? SHoud i use tails or heads? for the distribution of the sample space