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?
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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Question
![**Probability Distribution of Computer Systems Sold**
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.
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline
p(x) & 0.04 & 0.10 & 0.13 & 0.30 & 0.31 & 0.10 & 0.01 & 0.01 \\
\hline
\end{array}
\]
**Exercises**
(a) **Find the mean value of \( x \)** (the mean number of systems sold).
[Text Box]
(b) **Find the variance and standard deviation of \( x \).** (Round your standard deviation to four decimal places.)
- Variance: [Text Box]
- Standard Deviation: [Text Box]
**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 [Text Box]. A typical deviation from the mean number of systems sold in one week is [Text Box].
(c) **What is the probability that the number of systems sold is within 1 standard deviation of its mean value?**
[Text Box]
(d) **What is the probability that the number of systems sold is more than 2 standard deviations from the mean?**
[Text Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7e43dbe-ab72-46fa-955b-a8f42ce6613a%2Fe7bb2acc-ab17-4e13-b604-4aa4efa8e613%2Fi497wz_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability Distribution of Computer Systems Sold**
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.
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline
p(x) & 0.04 & 0.10 & 0.13 & 0.30 & 0.31 & 0.10 & 0.01 & 0.01 \\
\hline
\end{array}
\]
**Exercises**
(a) **Find the mean value of \( x \)** (the mean number of systems sold).
[Text Box]
(b) **Find the variance and standard deviation of \( x \).** (Round your standard deviation to four decimal places.)
- Variance: [Text Box]
- Standard Deviation: [Text Box]
**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 [Text Box]. A typical deviation from the mean number of systems sold in one week is [Text Box].
(c) **What is the probability that the number of systems sold is within 1 standard deviation of its mean value?**
[Text Box]
(d) **What is the probability that the number of systems sold is more than 2 standard deviations from the mean?**
[Text Box]
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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
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