EE351KHW_3Fall 2007

EE351KHW_3Fall 2007 - What is the probability of throwing a...

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THE UNIVERSITY OF TEXAS AT AUSTIN Department of Electrical and Computer Engineering EE 351K, Fall 2007 Assignment No. 3 Due: Thursday, September 20, 2007 Please include the following information on the first page of each assignment: (1) Your name (printed legibly), (2) course number EE 351K , (3) Assignment Number , and (4) Due Date . Thank you. 1. A computer scan of a recent article in the New York Times indicated that there were 300 words of one letter, 250 words of two letters, 475 words of three letters, 270 words of four letters, and 380 words of five letters, and 550 words of six or more letters. If a word is selected at random from this article, what is the probability it will have (i) exactly 3 letters. (ii) less than 3 letters. (iii) at least three letters (i.e., 3 or more letters). 2. Consider the act of randomly throwing two fair dice. (i) Identify all possible outcomes and the probability of each outcome. (ii)
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Unformatted text preview: What is the probability of throwing a “7” (i.e., a total of 7)? (iii) What is the probability of throwing a “6”? (iv) What is the probability of throwing a “12”? (v) What is the probability of throwing a “7” or an “11”? Prob. 3. Given: P(A ∪ B) = 0.75, P(A) = 0.5, P(A ∩ B) = 0.25 Find: P(B), P(A | B), P(B | A), P(A ∪ B | A ∩ B), P( A _ | A _ ∪ B), P( B _ | A _ ∪ B) Prob. 4 Consider three events C, D, E, where P(C) = 0.2, 10 . ) ( = ∩ D C P , P(C ∩ D) = 0.05, P (C _ ∩ E) = 0.8, and P(C ∩ D _ ∩ E) = 0.1, 05 . ) ( = ∩ E D P Find: (a) Divide the sample space S into eight disjoint events and find the probability of each of the eight disjoint events. (b) ) ( E D C P ∪ ∪ (c) ) ( E D C P ∩ ∩ (d) ) | ( D C D C P ∪ ∩ (e) ) | ( D E D C P ∪ ∪ (f) ) ( E D C P ∪ ∪ (g) ) | ( E D D C P ∪ ∩ (h) ) | ( D C E D C P ∪ ∩ ∩ (i) ) | ( D C E D P ∩ ∪...
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This note was uploaded on 01/20/2010 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas.

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EE351KHW_3Fall 2007 - What is the probability of throwing a...

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