Question

In: Statistics and Probability

Suppose two fair sided die with sides labeled 1,2,3,4,5,6 are tossed independently. Let X = the...

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.

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