Consider the random variable X = #6's showing when rolling a pair of dice once. What is the pdf of X?a.)X123456P(x)1/61/61/61/61/61/6 b.)X01P(x)25/3611/36c.)X123456P(x)10/361/3615/365/364/361/6d.)X12P(x)10/361/36e.)X012P(x)25/3610/361/36

Here the random variable X is the number of 6's showing when rolling a pair of dice once. It is…

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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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Consider the random variable X = #6's showing when rolling a pair of dice once. What is the pdf of X?

a.)

X	1	2	3	4	5	6
P(x)	1/6	1/6	1/6	1/6	1/6	1/6

b.)

X	0	1
P(x)	25/36	11/36

c.)

X	1	2	3	4	5	6
P(x)	10/36	1/36	15/36	5/36	4/36	1/6

d.)

X	1	2
P(x)	10/36	1/36

e.)

X	0	1	2
P(x)	25/36	10/36	1/36

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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