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Determine if the events "lettrered in a band" and "in honor society are independent".

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In a group of 100 college freshmen, 25 lettered in band, 20 were in the honor society and 5 lettered in band and were in the honor society.

asked Dec 6, 2014 in STATISTICS by anonymous

1 Answer

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Let us consider Event A as the lettered in band.

Let us consider Event B as the Honor Society.

There are 100 people in college out of which 25 are selected for lettered in band and 20 for honor society.

Probability of selecting 25 members out of 100 people is P(A) = 25/100 = 0.25

Probability of selecting 20 members out of 100 people is P(B) = 20/100 = 0.20

Probability of selecting people for both lettered in band and honor society is image = 5/100 = 0.05

Two events A and B are said to be independent even when image

P(A)*P(B) = 0.25 * 0.20 = 0.05

Therefore image which means events are independent.

Therefore the events "lettered in band" and "honor society" are independent events.

answered Dec 6, 2014 by Lucy Mentor

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