Suppose that for a given computer salesperson, the probability distribution of x= the number of systems sold in one week is given by the following table. X p(x) 1 2 0.04 0.10 3 4 5 6 7 (a) Find the mean value of x (the mean number of systems sold). 8 0.13 0.30 0.31 0.10 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is . A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that for a given computer salesperson, the probability distribution of
x = the number of systems sold in one week
is given by the following table.
X
p(x)
1
2
0.04 0.10
3
4
0.13 0.30
5
0.31
6
7
(a) Find the mean value of x (the mean number of systems sold).
8
0.10 0.01 0.01
(b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.)
variance
standard deviation
How would you interpret these values? (Round your standard deviation to four decimal places.)
The mean squared deviation from the mean number of systems sold in one week is
A typical deviation from the mean number of systems sold in one week is
(c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value?
(d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
Transcribed Image Text:Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. X p(x) 1 2 0.04 0.10 3 4 0.13 0.30 5 0.31 6 7 (a) Find the mean value of x (the mean number of systems sold). 8 0.10 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
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