# exam01_answers_easy - STA 3024 Summer A 2011 Name Exam...

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1. Sample odds ratio. Calculate the sample odds ratio for the conditional proportions shown below. (HINT: Use the formula from the formula sheet) Response Gender Yes No Total Female 0.333 0.667 1.000 Male 0.184 0.816 1.000 (A) 1.479 (B) 1.810 2.214 (C) 4.435 (D) 8.883 2. Probability and Independence. Consider the probability space that is represented by the single toss of the die. That is the set of outcomes is Ω = { 1 , 2 , 3 , 4 , 5 , 6 } and the probability of each outcome is equal to 1 6 . Now consider the following events. A = { 1 , 3 , 5 } i. e. A stands for odd numbers. B = { 1 , 2 , 3 , 4 , 5 , 6 } i.e. B stands for any number from 1 to 6 including 1 and 6 . C = { 1 , 2 , 3 } i. e. C stands for getting 1 , 2 or 3 . Please identify the pairs of independent events out of the three events mentioned above using the definition formula of independence . Please note that all outcomes in Ω are equally likely. (HINT: Notice that P ( B ) = 1 . Then try to remember what is the intersection for our case.) (A) Pair ( A and B ) only. (B) Pair ( A and C ) only. (C) Pair ( A and B ) and pair ( A and C ). Pair ( A and B ) and pair ( C and B ). (D) All three possible combinations i.e. ( A and B ), ( A and C ) and ( C and B ). 3. Complements. ( Example 1.8 from the notes) We randomly draw one card from a standard 52 -card deck. Let A be the event of drawing a spade. What is the complement event for A ? That is you are required to identify the the complement event A c . (A) A c stands for drawing a face card ( K , Q , or J ). (B) A c stands for the event of drawing both a spade and a face card. (C) both (A) and (B) above but not (D) or (E) below.
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## This note was uploaded on 01/08/2012 for the course STA 3024 taught by Professor Ta during the Summer '08 term at University of Florida.

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exam01_answers_easy - STA 3024 Summer A 2011 Name Exam...

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