Math Problem Statement

Determine the desired probability. P(X \le 2.55)

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Cumulative Distribution Function (CDF)
Linear Interpolation

Formulas

CDF P(X ≤ x) gives the probability that the random variable X takes a value less than or equal to x
Linear interpolation formula: P(X ≤ x) ≈ P(X ≤ x_1) + [(x - x_1) / (x_2 - x_1)] * [P(X ≤ x_2) - P(X ≤ x_1)]

Theorems

Cumulative Distribution Function (CDF) Theorem

Suitable Grade Level

College/University Level (Statistics or Probability Course)

Related Recommendation

Finding k from a CDF Table Where P(X < k) ≈ 0.05

Solve a Probability Question Using Normal Distribution CDF with R

Find the Value of c for P(z > c) = 0.0268 in a Standard Normal Distribution

Probability Using Normal Approximation for n = 85 and p = 0.48

Calculate Probability for Standard Normal Distribution - Between -2.00 and -0.44