A milk processing plant sells whole fat and semi-skimmed milk. 70% is semi-skimmed. The rest is whole fat. Every batch o

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A Milk Processing Plant Sells Whole Fat And Semi Skimmed Milk 70 Is Semi Skimmed The Rest Is Whole Fat Every Batch O 1 (106.19 KiB) Viewed 33 times

A milk processing plant sells whole fat and semi-skimmed milk. 70% is semi-skimmed. The rest is whole fat. Every batch of milk has to be tested to ensure all harmful bacteria is removed. 4% of the Whole fat milk fails the test. 2% of the Semi-Skimmed milk fails the test. a) Copy and complete the probability tree diagram to show this information. (2 marks) A batch of milk is selected at random b) Work out the probability that it has passed the test. (2 marks) 5 batches of milk are selected at random. The number of batches that are whole fat milk is x. c) What is the name of the probability distribution that is a suitable model for X (1 mark) d) Work out the probability that none of the batches selected are whole fat milk. (3 marks) e) Work out the probability that more than 2 batches are whole fat milk. (4 marks)