Math問題 Probability

2012-10-19 6:57 am

To test the quality of a shipment of crystal glasses, we selected 50 glasses at random. We found that one was scratched and chipped, three had only scratches, and two were only chipped. Consider the following events : A is a chipped glass, and B is a scratched glass. Determine the relative frequencies of A, B, A ∪ B, and A ∩ B.

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用戶2053

2012-10-19 7:58 am

✔ 最佳答案

{ ..........B = 3 ..........[.............A ∩ B = 1......... } ............A = 2.........]
{Only Scratched .....[Scratched and Chipped.} ...... Only Chipped ]
(.............................................A ∪ B................................................)

The relative frequencies of A = (1+2) / 50 = 3/50B = (1+3) / 50 = 2/25A ∪ B = (1+3+2) / 50 = 3/25A ∩ B = 1/50

2012-10-19 00:12:02 補充：
{ ..B - A ∩ B = 3 ....[.............A ∩ B = 1......... } ............A - A ∩ B = 2.]
{Only Scratched ....[Scratched and Chipped } ...... Only Chipped......]
(.............................................A ∪ B....................................................)

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