Math Problem Statement

For a continuous random variable X, P(25 ≤ X ≤ 73) = 0.28 and P(X > 73) = 0.12. Calculate the following probabilities.

Note: Round your answers to 2 decimal places.

P(X < 73) P(X < 25) P(X = 73

Solution

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Math Problem Analysis

Mathematical Concepts

Probability Theory
Continuous Random Variables

Formulas

P(X < 73) = 1 - P(X > 73)
P(X < 25) = 1 - P(25 ≤ X ≤ 73) - P(X > 73)
P(X = 73) = 0 (For continuous variables)

Theorems

Total Probability Theorem
Properties of Continuous Distributions

Suitable Grade Level

Grades 11-12, Early College