6.36. Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 week is given by the following table: 1 4 6 7 p(x) 0.05 0.10 0.12 0.30 0.30 0.11 0.01 0.01 a. Find the mean value of ¤ (the mean number of systems sold). b. Find the variance and standard deviation of æ. How would you interpret these values? c. What is the probability that the number of systems sold is within 1 standard deviation of its mean valu

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
Topic Video
Question
100%
6.36. Suppose that for a given computer salesperson, the probability distribution of
x = the number of systems sold in 1 week
is given by the following table:
1
2
3
4
7
8
p(z)
0.05
0.10
0.12
0.30
0.30
0.11
0.01
0.01
a. Find the mean value of æ (the mean number of systems sold).
b. Find the variance and standard deviation of æ. How would you interpret these values?
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:6.36. Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 week is given by the following table: 1 2 3 4 7 8 p(z) 0.05 0.10 0.12 0.30 0.30 0.11 0.01 0.01 a. Find the mean value of æ (the mean number of systems sold). b. Find the variance and standard deviation of æ. How would you interpret these values? 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
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics 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