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3. Probability tree. Weighing produce problem. A supermarket has three employees who package and weigh produce. Employee A records the correct weight 98% of the

3. Probability tree. Weighing produce problem. A supermarket has three employees who package and weigh produce. Employee A records the correct weight 98% of the time. Employees B and C record the correct weight 97% and 95% of the time, respectively. Employees A, B, and C handle 40%, 40% and 20% of the packaging, respectively. A customer complains about the incorrect weight recorded on a package he has purchased. What is the probability that the package was weighed by employee C? 4. An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm's sub office. a) Construct a probability tree. b) What is the probability that at least two women will be selected? c) If we know that at least two women were selected, what is the probability that all the selected graduates are women?

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