**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.\[\begin{array}{|c|c|c|c|c|c|c|c|c|}\hlinex & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hlinep(x) & 0.04 & 0.10 & 0.13 & 0.30 & 0.31 & 0.10 & 0.01 & 0.01 \\\hline\end{array}\]**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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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?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....

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