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Problem#2: A fair die is tossed. Let X denote twice the number appearing, and let Y denote 1 distribution, expectation, variance and standard deviation of (a) x, (b) Y, (c) x 3 according as an odd or even number appears. Find the or an

Problem#2: A fair die is tossed. Let X denote twice the number appearing, and let Y denote 1 distribution, expectation, variance and standard deviation of (a) x, (b) Y, (c) x 3 according as an odd or even number appears. Find the or an

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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question number 2 only. thanks

Problemi1: Find the expectation, variance and standard deviation of each of the following distributions: a.) f(x) b.) -5 -4 f(x) 8. c.) 3 0.1 4 f(x) 0.4 0.2 0.3 Problem#2: A fair die is tossed. Let X denote twice the number appearing, and let Y denote 1 or 3 according as an odd or an even number appears. Find the distribution, expectation, variance and standard deviation of (a) X, (b) Y, (c) X + Y, (c) XY. Problem# 3: A fair coin is tossed until a head or five tails occurs. Find the expected number E of tosses of the coin. Problem#4: Concentric circles of radius 1 and 3 inches are drawn on a circular target of radius 5 inches. A man receives 10, 5 or 3 points according if he hits the target, inside the smaller circle, inside the middle annular region or inside the outer annular region respectively. Suppose the man hits the target with prabability 4 and then is just as likely to hit one point of the target, as the other. Find the expected number E of points he scores each time he fires. 2118 3112 N- IM
Transcribed Image Text:Problemi1: Find the expectation, variance and standard deviation of each of the following distributions: a.) f(x) b.) -5 -4 f(x) 8. c.) 3 0.1 4 f(x) 0.4 0.2 0.3 Problem#2: A fair die is tossed. Let X denote twice the number appearing, and let Y denote 1 or 3 according as an odd or an even number appears. Find the distribution, expectation, variance and standard deviation of (a) X, (b) Y, (c) X + Y, (c) XY. Problem# 3: A fair coin is tossed until a head or five tails occurs. Find the expected number E of tosses of the coin. Problem#4: Concentric circles of radius 1 and 3 inches are drawn on a circular target of radius 5 inches. A man receives 10, 5 or 3 points according if he hits the target, inside the smaller circle, inside the middle annular region or inside the outer annular region respectively. Suppose the man hits the target with prabability 4 and then is just as likely to hit one point of the target, as the other. Find the expected number E of points he scores each time he fires. 2118 3112 N- IM
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