Suppose X - U(2, 7). Determine P(X > 6 | X > 5). Note: This is a very challenging problem.

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**Problem Statement:**

Suppose \( X \sim U(2, 7) \). Determine \( P(X > 6 \mid X > 5) \).

**Note:** This is a very challenging problem.

**Explanation:**

The problem involves finding a conditional probability for a uniformly distributed random variable \( X \), which ranges from 2 to 7. The notation \( X \sim U(2, 7) \) indicates that \( X \) has a uniform distribution on the interval [2, 7]. We are asked to find the probability that \( X \) is greater than 6 given that \( X \) is already known to be greater than 5. 

This is a conditional probability problem in the context of a continuous uniform distribution.
Transcribed Image Text:**Problem Statement:** Suppose \( X \sim U(2, 7) \). Determine \( P(X > 6 \mid X > 5) \). **Note:** This is a very challenging problem. **Explanation:** The problem involves finding a conditional probability for a uniformly distributed random variable \( X \), which ranges from 2 to 7. The notation \( X \sim U(2, 7) \) indicates that \( X \) has a uniform distribution on the interval [2, 7]. We are asked to find the probability that \( X \) is greater than 6 given that \( X \) is already known to be greater than 5. This is a conditional probability problem in the context of a continuous uniform distribution.
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