In: Statistics and Probability
Suppose two fair sided die with sides labeled 1,2,3,4,5,6 are tossed independently.
Let X = the minimum of the value from each die.
a. What is the probability mass function(pmf) of X?
b. Find the mean E[X] and variance V (X).
c. Write the cumulative distribution function (cdf) of X in a tabular form.
d. Write F(x) the cdf of X as a step function and give a rough sketch for this function.