Answer: 500

**Explanation:** We are given: - P(M|C) = 0.25 (probability that a driver is male given that they made a claim) - From the table: - Female with claim: 300 - Male with no claim: 400 - Female with no claim: 600 - Male with claim: ? (let's call this x) **Step 1: Set up the conditional probability formula** P(M|C) = P(M ∩ C) / P(C) = x / (x + 300) = 0.25 **Step 2: Solve for x** x / (x + 300) = 0.25 x = 0.25(x + 300) x = 0.25x + 75 x - 0.25x = 75 0.75x = 75 x = 100 **Step 3: Calculate total male drivers** Total male drivers = Male with claim + Male with no claim Total male drivers = x + 400 = 100 + 400 = 500 **Verification:** - Total claims = 100 + 300 = 400 - P(M|C) = 100/400 = 0.25 ✓ - Total male drivers = 500 ✓ Therefore, the company insures 500 male drivers.

Author: Nikitesh Somanthe