Suppose that for a particular computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table. 23 X p(x) 1 0.03 0.08 4 5 6 (b) Find the variance of x. 19.72 (a) Find the mean value of x (the mean number of systems sold). 4.24 7 8 0.14 0.30 0.30 0.13 0.01 0.01 Find the standard deviation of x. (Round your answer to four decimal places.) 1.7424 X How would you interpret these values? The variance of x is the mean squared deviation ✓ of the number of systems sold in a month from the mean number of systems sold in a month. The standard deviation of x is the typical deviation of the number of systems sold in a month from the mean number of systems sold in a month. (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? 0.74 (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
Suppose that for a particular computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table. 23 X p(x) 1 0.03 0.08 4 5 6 (b) Find the variance of x. 19.72 (a) Find the mean value of x (the mean number of systems sold). 4.24 7 8 0.14 0.30 0.30 0.13 0.01 0.01 Find the standard deviation of x. (Round your answer to four decimal places.) 1.7424 X How would you interpret these values? The variance of x is the mean squared deviation ✓ of the number of systems sold in a month from the mean number of systems sold in a month. The standard deviation of x is the typical deviation of the number of systems sold in a month from the mean number of systems sold in a month. (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? 0.74 (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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Transcribed Image Text:Suppose that for a particular computer salesperson, the probability distribution of x = the number of systems sold in 1
month is given by the following table.
X
p(x)
(c)
1
0.03 0.08
(b) Find the variance of x.
19.72
2
3
X
4
5
(a) Find the mean value of x (the mean number of systems sold).
4.24
6
7
8
0.14 0.30 0.30 0.13 0.01 0.01
Find the standard deviation of x. (Round your answer to four decimal places.)
1.7424
How would you interpret these values?
The variance of x is the mean squared deviation
of the number of systems sold in a month from the mean
number of systems sold in a month. The standard deviation of x is the typical deviation
of the number
of systems sold in a month from the mean number of systems sold in a month.
What is the probability that the number of systems sold is within 1 standard deviation of its mean value?
0.74
(d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
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