(Solution Library) Dice. In Exercise 5.8 on page 233, you were asked to determine the probability distribution of the sum of the dice, Y, when two balanced dice
Question: Dice. In Exercise 5.8 on page 233, you were asked to determine the probability distribution of the sum of the dice, \(Y\), when two balanced dice are rolled. That probability distribution is as follows.
- Find and interpret the mean of \(Y\).
- Obtain the standard deviation of \(Y\) by using one of the formulas given in Definition 5.5 on page 237 .
- Draw a probability histogram for the random variable; locate the mean; and show one, two, and three standard deviation intervals.
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