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 4 567 8 0.29 0.13 0.01 0.01 x P(x) 12 0.04 0.09 0.14 0.29 (a) Find the mean value of x (the mean number of systems sold). 4.18 (b) Find the variance of x. X Find the standard deviation of x. (Round your answer to four decimal places.) X How would you interpret these values? The variance 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. 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? (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
icon
Related questions
Question
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.
1||| 2 3
0.04 0.09
X
4
(b) Find the variance of x.
5
6
p(x)
(a) Find the mean value of x (the mean number of systems sold).
4.18
7
8
0.14 0.29 0.29 0.13 0.01 0.01
Find the standard deviation of x. (Round your answer to four decimal places.)
X
How would you interpret these values?
The variance 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. The standard deviation of x is the typical deviation
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?
(d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
of the number of
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. 1||| 2 3 0.04 0.09 X 4 (b) Find the variance of x. 5 6 p(x) (a) Find the mean value of x (the mean number of systems sold). 4.18 7 8 0.14 0.29 0.29 0.13 0.01 0.01 Find the standard deviation of x. (Round your answer to four decimal places.) X How would you interpret these values? The variance 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. The standard deviation of x is the typical deviation 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? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean? of the number of
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,