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(10) Find Std(X) when X is a discrete random variable with the following given density. (i) f(z) = }, z = 6, 7, 8, 9, 10, (iii) f(x) = z = 1,2, … … · , n, where n = 100, ()(") (4) (vii) f(z) = 0.3(0.7)*, z = 0, 1, … . ', (ix) /(r) = , z %3D %3D (v) S(x) = -, # = 0, 1, 2, 3, (10 %3D = 1, 2, ...

(10) Find Std(X) when X is a discrete random variable with the following given density. (i) f(z) = }, z = 6, 7, 8, 9, 10, (iii) f(x) = z = 1,2, … … · , n, where n = 100, ()(") (4) (vii) f(z) = 0.3(0.7)*, z = 0, 1, … . ', (ix) /(r) = , z %3D %3D (v) S(x) = -, # = 0, 1, 2, 3, (10 %3D = 1, 2, ...

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Answer only (vii), and (ix)

(10) Find Std(X) when X is a discrete random variable with the following given density. (i) \( f(x) = \frac{1}{5}, \, x = 6,7,8,9,10. \) (iii) \( f(x) = \frac{1}{100}, \, x = 1, 2, \ldots, n, \) where \( n = 100. \) (v) \( f(x) = \frac{\binom{4}{x}\binom{6}{4-x}}{\binom{10}{4}}, \, x = 0, 1, 2, 3. \) (vii) \( f(x) = 0.3(0.7)^x, \, x = 0, 1, \ldots \) (ix) \( f(x) = \frac{1}{x(x+1)}, \, x = 1, 2, \ldots \)
Transcribed Image Text:(10) Find Std(X) when X is a discrete random variable with the following given density. (i) \( f(x) = \frac{1}{5}, \, x = 6,7,8,9,10. \) (iii) \( f(x) = \frac{1}{100}, \, x = 1, 2, \ldots, n, \) where \( n = 100. \) (v) \( f(x) = \frac{\binom{4}{x}\binom{6}{4-x}}{\binom{10}{4}}, \, x = 0, 1, 2, 3. \) (vii) \( f(x) = 0.3(0.7)^x, \, x = 0, 1, \ldots \) (ix) \( f(x) = \frac{1}{x(x+1)}, \, x = 1, 2, \ldots \)
**Educational Website Content: Mathematical Problem Selection** --- **Problem (vii): Select One** - Options: - \(\sqrt{7/3}\) - \(0.7/\sqrt{0.3}\) - \(\sqrt{0.7}/0.3\) - \(7/3\) - None of the above - N/A (Selected) --- **Problem (xi): Select One** - Options: - Does not exist - 1 - 2 - 3 - 4 - N/A (Selected) --- *Explanation of Diagrams:* The image shows a simple survey or quiz format with two questions, labeled (vii) and (xi). Each question provides multiple-choice options, with radio buttons for selecting the answer. The background is a lime green color, ensuring clear visibility of options. The N/A options are selected in both cases, indicating the participant possibly chose not to answer or the question was not applicable.
Transcribed Image Text:**Educational Website Content: Mathematical Problem Selection** --- **Problem (vii): Select One** - Options: - \(\sqrt{7/3}\) - \(0.7/\sqrt{0.3}\) - \(\sqrt{0.7}/0.3\) - \(7/3\) - None of the above - N/A (Selected) --- **Problem (xi): Select One** - Options: - Does not exist - 1 - 2 - 3 - 4 - N/A (Selected) --- *Explanation of Diagrams:* The image shows a simple survey or quiz format with two questions, labeled (vii) and (xi). Each question provides multiple-choice options, with radio buttons for selecting the answer. The background is a lime green color, ensuring clear visibility of options. The N/A options are selected in both cases, indicating the participant possibly chose not to answer or the question was not applicable.
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