20082ee131A_1_HW1

# 20082ee131A_1_HW1 - EE 131A Homework#1 Due April 9th Spring...

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EE 131A Homework #1 Spring 2008 Due April 9th K. Yao Read Leon-Garcia (3rd edition) Chap. 1 (pp. 1-17) and Chap. 2 (pp. 21-29; 41-47) 1. Consider a deck of 52 cards. It has four suits (spade (S), heart (H), diamond (D), and club (C)). Spades and clubs are black and hearts and diamonds are red. Each suit has 13 cards, numbered from 2 to 10, and has 4 picture cards, Jack (J), Queen (Q), King (K), and Ace (A). (We consider Ace to be a picture card.) The ranking of the cards are: A > K > Q > J > 10 > ... > 3 > 2 for each suit. (a.) What is the sample space for a single draw? (b.) Randomly draw one card, what is the probability of having the Ace of Spade, P ( A of S )? (c.) Randomly draw one card, what is the probability of having an Ace, P ( A )? (d.) Randomly draw one card, what is the probability of having a card greater or equal to 10, P ( card 10) ? (e.) Suppose all the cards “are not the same.” Suppose all the 16 picture cards are ”heavier” and each has a probability of 1/32 of being randomly drawn. Suppose all the 36 non- picture cards have a probability of 1/72 of being randomly drawn. Repeat (b), (c), and
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