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. 2 3 4 5 6 p(x) 0.05 0.10 0.19 0.37 0.19 0.07 0.03 (a) Calculate the mean value and standard devlation of x. (Round your standard deviation to four decimal places.) O, = (b) What is the probability that the number of lines in use is farther than standard deviations from the mean value?

MATLAB: An Introduction with Applications
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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.
2
3
4
5
6
p(x)
0.05
0.10
0.19
0.37
0.19
0.07
0.03
(a) Calculate the mean value and standard devlation of x. (Round your standard deviation to four decimal places.)
O, =
(b) What is the probability that the number of lines in use is farther than
standard deviations from the mean value?
Transcribed Image Text: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. 2 3 4 5 6 p(x) 0.05 0.10 0.19 0.37 0.19 0.07 0.03 (a) Calculate the mean value and standard devlation of x. (Round your standard deviation to four decimal places.) O, = (b) What is the probability that the number of lines in use is farther than standard deviations from the mean value?
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