Calculate expected value 1:0.2, 2:0.3, 3:0.5

Linear regression, confidence intervals, expected value, and covariance.

Data

Answer

2.3

Calculate the expected value E(X).

The expected value is the probability-weighted average:

E(X) = Σ xᵢ × P(xᵢ)

Step 1 — Set up the probability distribution

X = 1, P = 0.2

X = 2, P = 0.3

X = 3, P = 0.5

Step 2 — Multiply each value by its probability

1 × 0.2 = 0.2

2 × 0.3 = 0.6

3 × 0.5 = 1.5

Step 3 — Sum all terms

E(X) = 0.2 + 0.6 + 1.5 = 2.3

Variance: Var(X) = E(X²) − [E(X)]² = 0.61

Standard deviation: σ = 0.781025

E(X) = 2.3

To compute expected value 1:0.2, 2:0.3, 3:0.5, apply the statistical formula to the data points.

This is a statistical analysis — advanced statistics includes regression, hypothesis testing, and measures of association.

What is the answer to expected value 1:0.2, 2:0.3, 3:0.5?
The answer is 2.3.

What method is used?
Linear regression finds y = mx + b that best fits the data. R² measures how well the line fits.

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