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Credit-Quiz-Ch4-Key

# Credit-Quiz-Ch4-Key - Key to BUS-271 In-class Quiz over...

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1 Key to BUS-271 In-class Quiz over Chapter 4 2011-09-22 [Over 45 points] 402. [Ch. 4; 12 points] (Definitions: Set theory) Given the following Venn diagram: (a) [2 p.] list the members of set A. A = { a, b, c, d, i, j } (b) [2 p.] list the members of set B. B = { c, d, e, f }

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2 (c) [2 p.] list the members of A B. { , } A B c d Intersection: this is the list of items or units that are both members of A and of B. (d) [2 p.] What is P(A) ? Assume Classical probability. P(A) = |A| / |S| = 6 / 10 = 0.6 The probability of any set is equal to the number of members of that set divided by the number of members in the “world” set S. [In terms of our probability problems: the probability of a particular outcome or set of outcomes of an experiment is equal to the number of outcomes that fit our desired description, divided by the total number of outcomes (sequences or groups) possible.] (e) [2 p.] What is P(A B)? | | 8 ( ) 0.8 | | 10 A B P A B S (f) [2 p.] What is P( (A B) C ) ? ( ) 1 ( ) 1 0.8 0.2 ( ) c P P A B A B This is because: (a) the complement of a set A is the set of all items that are in S that are NOT in A; and (b) if the probability of S is always 1, then the probability of A c must be equal to 1 P(A).
3 405. [Ch. 4; 6 points] (Probability) We try to assess the possibilities for tomorrow's weather: tomorrow it will either rain or it will not.

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Credit-Quiz-Ch4-Key - Key to BUS-271 In-class Quiz over...

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