MAC 15 First, consider an 'experiment' where we will toss a fair die and let X = the number of dots facing up . of course the possible values for X are 1, 2, 3, 4, 5 and 6 and each of these is equally...

MAC 15

First, consider an 'experiment' where we will toss a fair die and let
X = the number of dots facing up. of course the possible values for X are 1, 2, 3, 4, 5 and 6 and each of these is equally likely. Show the probability distribution for X using the first two columns in the table below.
Avoid rounding errors, show the probabilities as fractions - not as decimals. Next fill in the next two columns using fractions. Don't reduce fractions as you'll want to have a common denominator in each column.

* means multiply

a) Express the Expected Value of X, also known as the mean, u, as both a reduced fraction and as a decimal

b) show your work to find variance and standard deviation in both fraction and decimal.