Your understanding is correct that each
has
the same binomial distribution. What you are missing is that each coin is tossed independently. An example might help.
Toss the two coins 6 times and suppose the first has 3 heads and the second gas 2 heads.
.
Define the deviations:
.
Define the worst deviation:
.
In this particular instance the deviation is 0.16666. You are asked to compute the probability distribution for
. In particular,
Quote:
Originally Posted by foenix
Greetings,
This is in reference to part (b) of Problem 1.7
I am having some difficulty understanding what is meant by using the max over two coins.
My understanding is that the two coins both have binomial distributions for nu with 6 trials and a mu of .5. As such, wouldn't the probability of a given nu be the same for both coins? What am I missing here?
Appreciate the help.
