Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table. 1 4 6 7 8 P(x) 0.06 0.10 0.11 0.30 0.29 0.12 0.01 0.01 (a) Find the mean value of x (the mean number of systems sold). 4.13 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance 2.03 standard deviation 1.4248 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 month is 2.0 v . A typical deviation from the mean number of systems sold in one month is 1.8331 (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? 0.72 (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean? 0.6994

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 1 month is given by the following table.
1
3
4
7
8
p(x)
0.06
0.10
0.11
0.30
0.29
0.12
0.01
0.01
(a) Find the mean value of x (the mean number of systems sold).
4.13
(b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.)
variance
2.03
standard deviation
1.4248
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 month is 2.0
A typical deviation from the mean number of systems sold in one month is
1.8331
(c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value?
0.72
(d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
0.6994
Transcribed Image Text:Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table. 1 3 4 7 8 p(x) 0.06 0.10 0.11 0.30 0.29 0.12 0.01 0.01 (a) Find the mean value of x (the mean number of systems sold). 4.13 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance 2.03 standard deviation 1.4248 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 month is 2.0 A typical deviation from the mean number of systems sold in one month is 1.8331 (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? 0.72 (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean? 0.6994
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
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,