6.25 points A manufacturing firm just received a shipment of 44 assembly parts,
ID: 3333132 • Letter: 6
Question
6.25 points A manufacturing firm just received a shipment of 44 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 32 parts in the shipment that would be suitable. He examines these parts one at a time. a. Find the probability that the first part is suitable. (Round your answer to 2 decimal places.) Probability b. If the first part is suitable, find the probability that the second part is also suitable. (Round your answer to 4 decimal places.) Probability c. If the first part is suitable, find the probability that the second part is not suitable. (Round your answer to 4 decimal places.) ProbabilityExplanation / Answer
Solution:-
a) The probability that first part is suitable is 0.7273.
Number of suitable parts = 32
Total number of parts = 44
The probability that first part is suitable = 32/44 = 0.7373
b) The probability that the second part is also suitable is 0.5243.
Number of suitable parts = 32
Total number of parts = 44
The probability that first part is suitable = 32/44 = 0.7373
The probability that second part is suitable = 31/43 = 0.72093
The probability that the second part is also suitable = (32 × 31)/(44 × 43)
The probability that the second part is also suitable = 0.5243
c) The probability that the second part is not suitable given that first is suitable is 0.2791.
Number of suitable parts = 32
Total number of parts = 44
The probability that second part is not suitable = 12/43 = 0.2791
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