Prob18W-03.pdf - ELG 3126 RANDOM SIGNALS AND SYSTEMS...

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ELG 3126 RANDOM SIGNALS AND SYSTEMS Winter 2018 ASSIGNMENT 3 (due at 11:30 AM Thursday, Feb. 2 in class) 1. Eight rooks are placed on a chess board at random. What is the probability that they are all in a single file (i.e., a column) that starts with a white square at the bottom? 2. In a certain random experiment, the result can be any integer, and the probability that the outcome is i is 1 3 ( 1 2 ) | i | for all integers i . What is the probability that one of - 2, 2 or 7 is chosen? What is the probability that a multiple of 3 (positive or negative) is chosen? 3. From the text, problem 2.49. 4. Five balls are placed at random in one of six pails. What is the probability that only one bucket is empty afterwards, 5. Ten different people are separately asked to pick a number from 1 to 10 at random. What is the probability that each number is picked once, i.e., that each person selects a different number. If only nine people pick numbers, what is the chance that they all pick different numbers? 6. Vincent Massey Park is home to many raccoons and it is desired to learn just how many there are.
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