It is found that when a particular 4-sided die is rolled a 1 occurs 22.8% of the time, a 2 occurs 25.3% of the time, a 3 occurs 20.8% of the time, and a 4 occurs 31.1% of the time. let the random variable X be defined as X = (the number of times that 2 occurs). If the die is rolled a total of five times:
a) Construct a table for the probability distribution of X.
b) Construct a histogram for the probability distribution of X.
c) Find E(X).