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A business has six customer service telephone lines. Consider the random variable x = number of...

A business has six customer service telephone lines. Consider the random variable x = number of lines in use at a randomly selected time. Suppose that the probability distribution of x is as follows. x 0 1 2 3 4 5 6

0.05 0.10. 0.17 0.41. 0.17 0.07 0.03

Calculate the mean value and standard deviation of x. (Round your standard deviation to four decimal places.)

μx=

σx=

What is the probability that the number of lines in use is farther than 3 standard deviations from the mean value?

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Mean and standard deviation

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