IB skill practice

Use triangular density functions

Calculate probabilities from simple triangular density geometry.

Paper 1, Paper 2 5 marks Difficulty 3

Use triangular density functions - exam scenario

A triangular school survey density rises linearly from 0 to its peak at \(x=5\) and is symmetric on \([0,10]\). Find the probability to the left of the peak. 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.