The data from 200 machined parts are summarized as follows: Depth of Bore Edge Condition Above Target Below Target Coarse 15 10 Moderate 20 25 Smooth 52 78 (a) What is the probability that a part selected has a moderate edge condition and a below-target bore depth? Round your answer to two decimal places (e.g. 98.76).
2 answers:
Answer:
The probability that a part selected has a moderate edge condition and a below-target bore depth is 0.13 .
Explanation:
The given data is as follows:
Edge condition Above target Below target
Coarse 15 10
Moderate 20 25
Smooth 52 78
Total machine parts = 15 + 20 + 52 + 10 + 25 + 78
= 200
In general, Probability = Possible outcomes / Total outcomes
Probability that a part selected has a moderate edge condition <em>and</em> a below-target bore depth
= 25 / 200
= 0.125
= 0.13 (rounded to two decimal places)
Answer:
The probability that a part selected has a moderate edge condition and a below-target bore depth = 0.675.
Step-by-step explanation:
Depth of bore
Edge condition above target below target Total
Coarse 15 10 25
Moderate 25 20 45
Smooth 50 80 130
Total 90 110 200
Let part selected has a moderate edge condition be represented as M, and
part selected has a below target bore depth be represented as B.
P(M or B) = P(M \ B)
= P(M)+P(B)-P(M \ B)
= 45/200+110/200-20/200
= 0.225 + 0.55 - 0.1
=135/200
P(M or B) = 0.675
Thus, the probability that a part selected has a moderate edge condition and a below-target bore depth = 0.675.
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