Compute the mean and standard deviation for the random variable in Matched Problem 5.

Data from Matched Problem 5

Repeat Example 5, where the binomial experiment consists of two rolls of a die instead of three rolls.

Data from Example 5

Suppose a fair die is rolled three times and success on a single roll is considered to be rolling a number divisible by 3. For the binomial distribution,

• Write the probability function.
• Construct a table.
• Draw a histogram.