UIUC STAT 400 - Independence

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2 3 Note there are 52 cards total 4 of each value and 13 of each suit 4 Independent Mutually Exclusive P A P A P B P B 6 cid 198 7 Let S 1 2 3 4 with each outcome having equal probability Let S 1 2 3 4 with each outcome having equal probability Let A 1 2 B 1 3 C 1 4 Let A 1 2 B 1 3 C 1 4 Then P A P B P C Then P A P B P C A B and C are pairwise independent 8 9 Let S 1 2 3 4 with each outcome having equal probability Let S 1 2 3 4 with each outcome having equal probability Let A 1 2 B 1 3 C 1 4 Let A 1 2 B 1 3 C 1 4 Then P A P B P C Then P A P B P C A B and C are pairwise independent but So A B and C are not mutually independent 10 Area Mathematics Language Service Number of failures 3325 1900 1425 Assuming that student fails math student fails language Assuming that student fails math student fails language and student fails service are independent events what and student fails service are independent events what proportion of these seniors can be expected to fail to qualify proportion of these seniors can be expected to fail to qualify for a diploma for a diploma 12 13

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# UIUC STAT 400 - Independence

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