Question

The company ABCD produces simple calculators. 10% of the produced items are defective. The reason for a defective calculator may be an electronic fault, mechanical fault, or both. The probability for an electronic fault is 4%. In 0.25% of all products, both the mechanical and electronic parts are defective. a) Write down a Four-Field-Tableau. b) Which fault happens more often? c) Are the two types of faults independent of each other? d) Quality control makes an analysis of an item which shows both faults. How many calculators have to be chosen randomly from the overall production in order to find such an item with a probability of 95%?

          The company ABCD produces simple calculators. 10% of the produced items are defective. The reason for a defective calculator may be an electronic fault, mechanical fault, or both. The probability for an electronic fault is 4%. In 0.25% of all products, both the mechanical and electronic parts are defective. 

a) Write down a Four-Field-Tableau.
b) Which fault happens more often?
c) Are the two types of faults independent of each other?
d) Quality control makes an analysis of an item which shows both faults. How many calculators have to be chosen randomly from the overall production in order to find such an item with a probability of 95%?

Added by Dana B.

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