Hwk1SolnFinDrtSp06 - H ADM 201 Homework I Due Friday 2:00...

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H ADM 201: Homework I Due Friday, February 10, 2006. 2:00 pm Name:_____________________________________________ Please check your recitation section in the space provided below : H ADM 201, Section 1. (Mondays 4:40 PM: Michelle Tong) H ADM 201, Section 2. (Mondays 7:40 PM: Michelle Tong) H ADM 201, Section 3. (Tuesdays 4:30 PM: Melanie Pope) H ADM 201, Section 4. (Tuesdays 7:40 PM: Melanie Pope) This cover page must be stapled to the homework you turn in. It is the front page of your homework. Make sure to fill out the information requested above. GRADING SHEET MAXIMUM SCORE SCORE EARNED
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H ADM 201 Homework 1 Spring 2006 For questions 1 and 2, evaluate whether the statements are true or false. If false, provide an example which contradicts the statement. Question 1. If two events are mutually exclusive, then they are also independent. Answer: False, mutually exclusive events mean that when one occurs it is impossible for the other one to occur. Therefore they are highly dependent upon one another, since if one event occurs, now the probability of the other event goes to 0. (Remember, two events are independent if the occurrence of one event does not change the probability the other event occurs). An example would be tossing a fair coin. Flipping a head is a mutually exclusive event from flipping a tail. If you get a head then the probability of getting a tail goes to 0. Question 2. If two events are independent, then they are also mutually exclusive. Answer: False, when two events are independent they do not bear any influence upon the outcome of another. This does not necessarily mean that they are mutually exclusive. For example, wearing shoes and throwing a dice are two independent events. However, wearing shoes can occur at the same time as throwing a dice, so they are not mutually exclusive.
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