1) A manufacturing firm just received a shipment of 55 assembly parts, of slight
ID: 3238776 • Letter: 1
Question
1)
A manufacturing firm just received a shipment of 55 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 46 parts in the shipment that would be suitable. He examines these parts one at a time.
If the first part is suitable, find the probability that the second part is also suitable. (Round your answer to 4 decimal places.)
If the first part is suitable, find the probability that the second part is not suitable. (Round your answer to 4 DECIMALS places.)
1)
A manufacturing firm just received a shipment of 55 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 46 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 DECIMALS places.)
Probability:Explanation / Answer
Solution:-
a) The probability that the first part is suitable is 0.84.
Number of suitable parts = 46
Number of total assembly parts = 55
The probability that the first part is suitable = 46/55 = 0.8364
b) The probability that the second part is also suitable is 0.8333.
If first part is suitable, than we are left with 45 suitable and 54 total parts
Number of suitable parts = 45
Number of total assembly parts = 54
The probability that the first part is suitable = 45/54 = 0.8333
c) If the first part is suitable, than the probability that the second part is not suitable is 0.1667.
Number of unsuitable parts = 9
Number of total assembly parts = 54
If the first part is suitable, than the probability that the second part is not suitable = 9/54 = 0.167
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