IB skill practice

Use triangular density functions

Calculate probabilities from simple triangular density geometry.

Paper 1, Paper 2 5 marks Difficulty 5

Use triangular density functions - exam scenario

A triangular sports academy density rises linearly from 0 to its peak at \(x=4\) and is symmetric on \([0,8]\). Find the probability to the left of the peak. Confirm the context meaning before entering the value. Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.