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. 2 3 4 5 6 8 P(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 | 0.01 (a) Find the mean value of x (the mean number of systems sold). (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
icon
Related questions
Question
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.
1
3
4
6.
7
8
p(x)
0.04
0.10
0.13
0.30
0.31
0.10
0.01
0.01
(a) Find the mean value of x (the mean number of systems sold).
(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. 1 3 4 6. 7 8 p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01 (a) Find the mean value of x (the mean number of systems sold). (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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

I was wondering where part (d) was. I figured I could use the same process but I want to make sure I'm answering the question right. So far I added the standard deviation to itself to get 2.7078 and added it to the mean, as well as subtracted. But, the question does as for 2 standard deviations above the mean so do I only add it to the mean and not subtract it? I have already put both 0.02 and 0.01 as the answer for part (d).

Solution
Bartleby Expert
SEE SOLUTION
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,