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Author Archives: Fabrice Baudoin
HW3. MA3160. Due 09/20
Exercise 1. Two dice are simultaneously rolled. For each pair of events defined below, compute if they are independent or not. (a) A1 ={thesumis7},B1 ={thefirstdielandsa3}. (b) A2 = {the sum is 9}, B2 = {the second die lands a 3}. (c) … Continue reading
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HW2. MA 3160. Due 09/13
Exercise 1. Suppose that A and B are pairwise disjoint events for which P(A) = 0.3 and P(B) = 0.5. What is the probability that B occurs but A does not? What is the probability that neither A nor … Continue reading
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HW1. MA3160 Fall 2018. Due 09/07.
Suppose a License plate must consist of a combination of 8 numbers or letters. How many license plates are there if: there can only be letters? the first three places are numbers and the last five are letters? the first … Continue reading
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MA3160. Fall 2018
The main educational resource for MA3160 is the following webpage: UConn Undergraduate Probability OER. No book is required and the course will mostly be based on the lecture notes posted here. There will be two midterm exams (in class) and a … Continue reading
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Special semester in Probability at Uconn
The Department of Mathematics at the University of Connecticut is designating Fall 2018 as a Special Semester in Probability. Special lectures: Srinivasa Varadhan, 9/13 Ofer Zeitouni, 9/20 Elizabeth Meckes, 9/27 Walter Schachermayer, 10/11 Rodrigo Banuelos, 10/18 David Nualart, 10/25 Kavita … Continue reading
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Geometric inequalities on sub-Riemannian manifolds
From January 15th to January 30th, I will have the great pleasure to visit the TIFR Centre For Applicable Mathematics in Bangalore, India. I will be lecturing on some aspects of geometric inequalities on sub-Riemannian manifolds. Here is a preliminary version … Continue reading
HW10. MA3160 Fall 2021 Due November 18
Exercise. Let (X,Y) have joint density if and 0 otherwise. (a) Find c that makes this a joint pdf. (b) Are X and Y independent ? (c) Compute (d) Compute Honors exercise. Let be a an exponential random variable with parameter … Continue reading
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HW9. MA3160 Fall 2021, due 11/11
Exercise. The average waiting time for the commuter train is 15 minutes . What is the probability that Joe will wait for more than 10 minutes, given that he has already waited for 5 minutes ? Exercise. Suppose that the … Continue reading
HW8. MA3160 Fall 2021. Due 11/04/21
Exercise. About 10% of the population is left-handed. Use the normal distribution to approximate the probability that in a class of 150 students, (a) at least 25 of them are left-handed. (b) between 15 and 20 are left-handed. Honors Exercise. … Continue reading
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HW7. MA3160 Fall 2021, due October 28
Exercise. Let X be a random variable with probability density function: f(x) =cx(5−x) 0≤x≤5, 0 otherwise. (a) What is the value of c?(b) What is the cumulative distribution function of X ? That is, find F (x) = P (X … Continue reading
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