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What the probability that a part selected has a moderate edge condition and a be

ID: 3206376 • Letter: W

Question

What the probability that a part selected has a moderate edge condition and a below- target bore depth? What is the probability that a part selected has a moderate edge condition or a below- target bore depth1 What is the probability that a part selected does not have a moderate edge condition or does not have a below-target bore depth? Build a Venn Diagram to represent the data shown in the table above. Show the number of machined parts on each pertinent section of the diagram. Based on the situation represented in this problem, describe a potential situation of interest that could involve computing conditional probabilities.

Explanation / Answer

The corresponding probabilities by dividing each number by 200

a) probability that a part selected has a moderate edge condition and a below target bore depth = 0.1

a) probability that a part selected has a moderate edge condition or a below target bore depth = 0.225+0.55 = 0.775

b) probability that a part selected does not have a moderate edge condition or does not have a below target bore depth = (0.125*0.65) + 0.45 = 0.08 + 0.45 = 0.53

Depth of Bore Total EdgeCondition Above Target Below Target Coarse 15 10 25 Moderate 25 20 45 Smooth 50 80 130 Total 90 110 200=N
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