Sprint 8:00 PM 22% 1-0, ? mathxl.com Homework Do Homework - Anastasia Ruiz Giann

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Sprint 8:00 PM 22% 1-0, ? mathxl.com Homework Do Homework - Anastasia Ruiz Gianni Bini Raissa Fluted Ruffle Slee Statistics and Probability question | SMTE 1351.001 Summer 1 -2018 (Postelnicu) Anastasia Ruiz | 6/25/18 8:00 PM Homework: Section 14.4 Homework Save Score: 0 of 1 pt 10 of 10 (9 complete) ? HW Score: 60%, 6 of 10 pts X) 14.4.26 Question Help Let E and F be mutually exclusive events in a sample space S. The odds that E occurs are 3:7 and the odds F occurs are 2:6. If it is known that either E or F occurred, what are the odds that the event was E? The odds that E occurred are (Type whole numbers. Simplify your answer.) Enter your answer in the edit fields and then click Check Answer. All parts showing Clear Al Check Answer

Explanation / Answer

Odds that E occurs is 3:7
Therefore P(E) = 3 / (3 + 7) = 3/10 = 0.3

Odds that F occurs is 2:6
Therefore P(F) = 2/(2 + 6) = 2/8 = 0.25

Also it is known that either E or F occured. Therefore P(E or F) = 1

Also as we are given that E and F are mutually exclusive, therefore P(E and F) = 0

P( E occured ) = P(E) / [ P(E) + P(F) ] = 0.3 / (0.3 + 0.25) = 0.3 / 0.55

Also P( F occured ) = P(F) / [ P(E) + P(F) ] = 0.25 / (0.3 + 0.25) = 0.25 / 0.55

Therefore the odds that event E occured is computed here as:

= 0.3 / 0.25

= 6:5

Therefore 6:5 are the required odds here.

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