Name: Quiz 3, Fall 2017, MAT 330 No calculators are allowed. Once you get your a

Question

Name: Quiz 3, Fall 2017, MAT 330 No calculators are allowed. Once you get your answer to the point where it contains factorials (ie. 41), do NOT simplify further 1) (3 points) Fill in the axioms and propositions below. Let S be the sample space of some experiment, and let E be an event of this sample space. Axiom 1: Axiom 2: PL- ) = 1 Proposition 41: P(Ec)=1 2) (7 points) 61% of people living in N New York are Rangers fans, and 13% of people living in New York are fans of both teams, it a person living in New York is chosen at random, what is the probability that this person isw not a fan of either team?

Explanation / Answer

2.

Axiom1) 0<=P(E) <=1
Axiom2) P(S) = 1

Proposition4.1) P(Ec) = 1-P(E)

2) P( isn't a fan of either)

= 1- P( is a Yankee or a Rangers fan)
= 1-( P(Yankee fan)+P(Ranger)-P( Yankee and Rangers fan)
= 1- ( .61+.30-.13)
= .22

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