The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 90 minutes and a standard deviation of 15 minutes.
a) [4pts] What is the probability of completing the exam in one hour or less?
b) [6pts] How much time would there need to be allotted so that on average only at most 5%
student would be unable to complete the exam?
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خمIn a manufacturing plant, machine A produces 10% of a certain product, machine B produces
40% of this product, and machine C produces the rest of this product. 5% of machine A
products are defective, 12% of machine B products are defective, and 8% of machine C
products are defective.
a) [4pts] Draw a probability tree for this question. Clearly indicate the symbols and the
probabilities on each branch.
b) [6pts] The company inspector has just sampled a product from this plant and has found it to
be defective. Determine the probability that the sampled product was produced by machine C.
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need to show all the detailed steps in the paper work.
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