20061ee131A_1_131a2

# 20061ee131A_1_131a2 - EE 131A Homework#2 Winter 2006 Due...

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Unformatted text preview: EE 131A Homework #2 Winter 2006 Due Feb 2nd K. Yao Read Leon-Garcia, Chap. 2 (pp. 49-69; 84-119) 1. A die is tossed twice and the number of dots facing up is counted and noted in the order of occurrence. a. Find the sample space. b. Enumerate the outcomes with an equal number of dots in both tosses. c. Enumerate the outcomes where the sum of the dots on the two dice is a prime number. 2. An urn contains three balls, numbered 1 to 3. They are drawn out randomly, one at a time until the urn is empty. The sequence of balls is noted. a. Find the sample space. b. Find the sets A k corresponding to the events “ball number k is selected in the k-th draw,” for k = 1 , 2 , 3. c. Find the set A 1 ∩ A 2 ∩ A 3 and describe the event in words. d. Find the set A 1 ∪ A 2 ∪ A 3 and describe the event in words. e. Find the set ( A 1 ∪ A 2 ∪ A 3 ) c and describe the event in words. 3. A number x is selected at random in the interval [- 1 , 1]. Let the events A = { x < } , B = {| x- . 5 |...
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20061ee131A_1_131a2 - EE 131A Homework#2 Winter 2006 Due...

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