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Tutorial1_Stat340

# Tutorial1_Stat340 - at least this small A 9 B 10 C 388,439...

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Tutorial 1 Stat 340 – Spring 2010 Question 1 The times between buses arriving at a bus stop are exponential with rate 1/6. I) Find the probability that the first arrival is in the first 5 minutes A) 57% B) 43% C) 22% D) 75% E) None of the above. II) Find the probability that the first arrival takes more than 5 minutes. A) 57% B) 43% C) 22% D) 75% E) None of the above. III) Find the probability that the first arrival takes more than 10 minutes given that it has taken more than 5 minutes to arrive already? A) 57% B) 43% C) 22% D) 75% E) None of the above. IV) The property of “c” is called the (no additional marks for being right): A) Muller B) Markovian C) Memoryless D) Minimalist E) None of the above. Question 2 The probability of winning the jackpot in Lotto 6/49 is 1/13,983,816. I) How many heads would you need to get in a row, on a coin, to obtain a probability at least this small? A) 23 B) 24 C) 3,495,954 D) 6,991,908 E) None of the above. II) How many ones would you need to get in a row, on a die, to obtain a probability

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Unformatted text preview: at least this small? A) 9 B) 10 C) 388,439 D) 2,330,636 E) None of the above. Question 3 The distribution of male interarrival times at a Tim Hortons is M~Exp(n=2) and the distribution of female interarrival times at Tim Hortons is F~Exp(g=3). I) What is the distribution of the first person to arrive? A) Normal(2,3) B) Exponential(1) C) Exponential(5) D) None of the above II) What is the probability that the first person to arrive does so within 5 minutes? A) 18% B) 63% C) 99% D) None of the above Mini-Project Component 1 Stat 340 – Spring 2010 Due: Tutorial, Monday May 17, 2010 Grading: 0 – You didn’t bother to hand it in. 1 – Missing information 2 – Completed and handed in Details: Please select a group of 4-6 people. Please fill in and hand in the table below: Name ID UserID (i.e. Quest login)...
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