## Math Problem Statement

A real estate agent has 15 properties that she shows. She feels that there is a 40% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling no more than 2 properties in one week. Round your answer to four decimal places.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Binomial Distribution

Probability Theory

### Formulas

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

### Theorems

Binomial Theorem

### Suitable Grade Level

Grades 11-12 (Advanced High School) or College Level

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