Three Invoices are prepared by Shanty, Jenny and Sherry. A sample of 500 invoices are selected. Two hundred were prepared by Shanty, 120 by Jenny and 180 by Sherry The error rates of Shanty, Jenny and Sherry were found to be 2%, 3% and 4% respectively. From the sample of 500 invoices, one invoice was selected. (a) Draw a tree diagram for the above information. (b) What is the probability that the invoice contains an error? (c) What is the probability that the invoice was prepared by Shanty, given that it contains no error?
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