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Homework 9

# Homework 9 - M ath 3 51 Homework 9 Due i n c lass o n T...

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Math 351 - Homework 9 Due in class on Thursday. 1. An urn contains balls numbered 1 to 10. Balls numhered 1,2,4.6.7.9 are hlue; balh:; numhered 3,5.8 arc red: ball number 10 is green. A single ball is chosen. Let B "it is hlnc", R = "it is red" , G "it is green" and E = "it has an even number". Decide each of the following by means of an appropriate calcnlation. (a;;;;)E;n;n('f'7Y tJ) ~ W f/(IJ) It~):;a ([ VY~-::Y'i"J). /(17 '?f-f 1"0) -:-:. s-.;]l -~ l~..{'7'~" ~e~· I'D W (b) Are Rand E independent? I(~/\$)::;a( n~?}1 ~~~U/'O.v @ ,/J {~JW . .'. rJ ~ .('1 "'~e., ,!",e~ . . (c) Are Rand G independent? jJ{~~G)= /( p)=')1 4'rd /t?)/tJ;)1IE I _ -,tt , - .. 'l~l /'1cf~e.*t~~~ 2. Suppose A and B are two events such that peA) = 2/11 and PCB) 3/11. (a) If we know that A and B are mutually exclusive, what is the probability that either A or B occurs'! (b) If we know that 11 and B are independent, what is the probability that either A or B occurs? ;P{4 v lJ):: IJ{~)~ /(/\$/- ;P(A;1) =: fJiFl)f- /It'~/- jJ('A)/Uj/

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oV 1 3. Urn I has two red and 3 blue balls, urn II has three red and one blue balL Choose an urn randomly (assume you chose urn I with probability 1/3 and urn II with probability
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Homework 9 - M ath 3 51 Homework 9 Due i n c lass o n T...

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