- 10 Marks
QTB – May 2017 – L1 – SB – Q4a – Statistics
Calculate the proportion of damaged blocks and the probability of taking a damaged block from a specific lorry using a tree diagram.
Question
a. A fleet of lorries A, B, and C are loaded with blocks meant for a building site.
Lorry A carries 2/5 of all the needed blocks, B carries 3/4 of what lorry A carries, and lorry C carries the rest. Lorries A, B, and C contain 13%, 15%, and 11% damaged blocks, respectively.
By drawing a suitable tree diagram, calculate:
i. The proportion of damaged blocks in the fleet. (8 Marks)
ii. The probability of randomly taking a damaged block from lorry B. (2 Marks)
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