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6.54 A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a density function given by a{X + 3}, where a is a constant. (a) Calculate a. Find (b) Pr{3 < X <5}, (c) Pr{X ≥ 4), and (d) Pr{IX - 51 <0.5}. 6.55 Three marbles ord

6.54 A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a density function given by a{X + 3}, where a is a constant. (a) Calculate a. Find (b) Pr{3 < X <5}, (c) Pr{X ≥ 4), and (d) Pr{IX - 51 <0.5}. 6.55 Three marbles ord

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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well- of the Probability Distributions 6.53 If X is the random variable showing the number of boys in families with 4 children (see Problem 6.51), (a) construct a table showing the probability distribution of X and (b) represent the distribution in part (a) graphically. 6.54 A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a density function given by a{X + 3}, where a is a constant. (a) Calculate a. Find (b) Pr{3 < X<5}, (c) Pr{X ≥ 4}, and (d) Pr{IX - 51 <0.5}. 6.55 Three marbles are drawn without replacement from an urn containing 4 red and 6 white marbles. If X is a random variable that denotes the total number of red marbles drawn, (a) construct a table showing the probability distribution of X and (b) graph the distribution. 6.56 (a) Three dice are rolled and X = the sum on the three upturned faces. Give the probability distribution for X. (b) Find Pr{7 ≤ X≤ 11). Mathematical Expectation 6.57 What is a fair price to pay to enter a game in which one can win $25 with probability 0.2 and $10 with probability 0.4? TO
Transcribed Image Text:well- of the Probability Distributions 6.53 If X is the random variable showing the number of boys in families with 4 children (see Problem 6.51), (a) construct a table showing the probability distribution of X and (b) represent the distribution in part (a) graphically. 6.54 A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a density function given by a{X + 3}, where a is a constant. (a) Calculate a. Find (b) Pr{3 < X<5}, (c) Pr{X ≥ 4}, and (d) Pr{IX - 51 <0.5}. 6.55 Three marbles are drawn without replacement from an urn containing 4 red and 6 white marbles. If X is a random variable that denotes the total number of red marbles drawn, (a) construct a table showing the probability distribution of X and (b) graph the distribution. 6.56 (a) Three dice are rolled and X = the sum on the three upturned faces. Give the probability distribution for X. (b) Find Pr{7 ≤ X≤ 11). Mathematical Expectation 6.57 What is a fair price to pay to enter a game in which one can win $25 with probability 0.2 and $10 with probability 0.4? TO
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