**Find the expected value for the random variable.**Here is a table representing a discrete probability distribution:| \( x \) | 2 | 3 | 4 | 5 ||----------|-----|-----|-----|-----|| \( P(x) \) | 0.3 | 0.1 | 0.4 | 0.2 |To calculate the expected value \( E(X) \), use the formula:\[ E(X) = \sum [x_i \cdot P(x_i)] \]- \( E(X) = (2 \times 0.3) + (3 \times 0.1) + (4 \times 0.4) + (5 \times 0.2) \)- \( E(X) = 0.6 + 0.3 + 1.6 + 1.0 \)- \( E(X) = 3.5 \)**Answer Options:**- ○ 3.1- ○ 3.5- ○ 3.7- ○ 4.5The correct answer is 3.5.

Name: **Find the expected value for the random variable.**Here is a table r
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Description: **Find the expected value for the random variable.**Here is a table representing a discrete probability distribution:| \( x \) | 2 | 3 | 4 | 5 ||----------|-----|-----|-----|-----|| \( P(x) \) | 0.3 | 0.1 | 0.4 | 0.2 |To calculate the expec

The formula for mean is given by the formula μ=EX=∑xifxi.

Answered: Find the expected value for the random…

Math

Calculus

Find the expected value for the random variable. 2 3. 4 5 P(x)| 03 0.1 0.4 0.2 O 4.5 O 3.5 3.1 O 3.7

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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