標題:
Probability - Independent Even
發問:
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From the following table:Size of shirt S M L TotalNo of boy 10 14 18 42No. of girls 30 26 22 78P(Girl) = 78/120P(Wearing M size shirt) = 40/120P(A... 顯示更多 From the following table: Size of shirt S M L Total No of boy 10 14 18 42 No. of girls 30 26 22 78 P(Girl) = 78/120 P(Wearing M size shirt) = 40/120 P(A girl and wearing M size shirt) = 26/120 78/120 x 40/120 = 26/120 that means P(Girl) x P(Wearing M size shirt) = P(A girl and wearing M size shirt) therefore P(Girl) and P(Wearing M size shirt) are independent events. Is this correct? If not, why not?
最佳解答:
P(Girl) = 78/120 ; P(Wearing M size shirt) = 40/120 P(A girl and wearing M size shirt) = 26/120 Since P(A girl and wearing M size shirt) = P(Girl) P(Wearing M size shirt) This means that sex (M or F) and "wearing M size shirt" are independent events. On the other hand, P(Boy) = 42/120 ; P(Wearing S size shirt) = 40/120 P(A boy and wearing S size shirt) = 10/120 Since P(A boy and wearing S size shirt) P(Boy) P(Wearing S size shirt) This means that sex (M or F) and "wearing S size shirt" are dependent events.
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