# HW01 Answers - Solution for 36217 Wanjie Wang Teacher:...

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Solution for 36217 Wanjie Wang Teacher: Jiashun Jin September 3, 2009 If there is any question, please contact me at [email protected] 1. The sample space and the probability of each point in the sample space? The sample space Ω= { RR, RG, RB, GR, GG, GB, BR, BG, BB } . R=Red, G=Green, B=Blue. AB means the color of the ﬁrst marble from the box is A, and of the second is B. Because each marble in the box is equally likely to be selected, the points in the sample space have equal probability, that is, all 1/9. 2. Find expressions for the events that of E, F, G a. at least one event occurs: E F G b. both E and F but not G occurs: E F G c c. all three events occurs: E F G d. at most one occurs: ( E F c G c ) ( E c F G c ) ( E c F c G ) e. at most two occurs: ( E F G ) c or E c F c G c f.none occurs: E c F c G c 3.To compute the probability that two student fails. Suppose M= { Mary fails } , B= { Bill fails } . Then P(M)=0.6, P(B)=0.5, P(M B)=0.3 a. the probability that at least one of them will fail. P(One of them will fail)=P(M

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## This note was uploaded on 09/30/2010 for the course STATISTICS 36-217 taught by Professor Jin during the Fall '09 term at Carnegie Mellon.

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HW01 Answers - Solution for 36217 Wanjie Wang Teacher:...

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