Toss is a popular application for smart phones. The goal of the game is to toss crumbled paper into a trash can while accounting for wind from a fan. The following data represent the ratings (on a scale from 1 to 5) with 1 representing a poor rating.

(a) Construct a discrete probability distribution for the random variable X,

(b) Draw the probability histogram,

(c) Compute and interpret the mean of the random variable X, and

(d) Compute the standard deviation of the random variable X.

Stars .....Frequency

1 ....... 2752

2 ....... 2331

3 ....... 4215

4 ....... 3902

5 .......10,518