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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 12DE
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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
Transcribed Image Text: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
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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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