Hello,What is the circled notation in the attached image? How do you solve it?Thank you Explanation of SolutionThe probability density function of the discrete random variable Xis shown below:f(x) =Here, X=0, 1, 2, 3.The expected value or mean of X:H = E (X)2xf (x), For discretexf (x) dx, For continuous-00In this context, the random variable Xis discrete. Therefore, themean of Xis shown below:µ = E (X)3x=0(0) P (X = 0) + (1) P (X = 1) + (2) P (X = 2)+(3) Р (X — 3)3-03–1+(2)+(3)= (0) (0.4219) + (1) (0.4219) + (2) (0.28125) + (3) (0.043875)= 0.75

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Description: Hello,What is the circled notation in the attached image? How do you solve it?Thank you Explanation of SolutionThe probability density function of the discrete random variable Xis shown below:f(x) =Here, X=0, 1, 2, 3.The expected value or mean of X:H

Answered: Hello, What is the circled notation in…

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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Hello,

What is the circled notation in the attached image? How do you solve it?

Thank you

Explanation of Solution
The probability density function of the discrete random variable X
is shown below:
f(x) =
Here, X=0, 1, 2, 3.
The expected value or mean of X:
H = E (X)
2xf (x), For discrete
xf (x) dx, For continuous
-00
In this context, the random variable Xis discrete. Therefore, the
mean of Xis shown below:
µ = E (X)
3
x=0
(0) P (X = 0) + (1) P (X = 1) + (2) P (X = 2)+
(3) Р (X — 3)
3-0
3–1
+
(2)
+(3)
= (0) (0.4219) + (1) (0.4219) + (2) (0.28125) + (3) (0.043875)
= 0.75

Expert Solution

Step 1

In the above example, the binomial distribution is used. Binomial distribution has two parameters n and p.

where n = number of trials, p= probability of success

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