An office manager has several computers running distributed programs. Because of the demands on the system, the machines may crash at various times during the day and require a hard reset. The probability distribution for the number of times a randomly selected machine crashes during a day, X, is given in the table.
Fill in the blanks.
1. The mean for the number of crashes by a single machine during a day is _(Answer 1)_. (Give your answer to two decimal places.)
2. The variance for the number of crashes by a single machine during a day is _(Answer 2)_. (Give your answer to four decimal places.)
3. The standard deviation for the number of crashes by a single machine during a day is _(Answer 3)_. (Give your answer to two decimal places.)
4. Suppose n = 2 machines are selected at random and the statistic T represents the total number of crashes for the two machines. Then mean of T is _(Answer 4)_.
5. The variance of T is _(Answer 5)_. (Give your answer to four decimal places.)
6. The standard deviation of T is _(Answer 6)_. (Give your answer to four decimal places.)