12 May An office manager has several computers running distri
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. x| 0 1 2 3 4 5 p(x)| 0.50 0.30 0.10 0.07 0.02 0.01 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.)
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