Detailed Answer
The total error rate for CLT Company is equal to the sum of the error rates for each department: Department
A (50% × 2% = 1%); Department B (30% × 5% = 1.5%); Department C (20% × 2 0.5% = 0.5%), which is 3% in
total. The probability that the error occurred in Department A is Department A error rate divided by the whole
company error rate, or 1% ÷ 3%, which is 33 1/3% or 0.33.