Let X Exponential (3) a) Find the Markov upper bound for P(X>10). b) Find the Chebyshev upper bound for P(X>10). State which of the two bounds found is better. c) Find the Chernoff upper bound for P(X>10). Clearly state the allowable range for t. d) Let Zn, be a RV from a Gamma (n, 3) distribution for n=1,2,... . What does Za converge in probability to? Please state both the value and the reasoning by which Z converges in probability to it.
Let X Exponential (3) a) Find the Markov upper bound for P(X>10). b) Find the Chebyshev upper bound for P(X>10). State which of the two bounds found is better. c) Find the Chernoff upper bound for P(X>10). Clearly state the allowable range for t. d) Let Zn, be a RV from a Gamma (n, 3) distribution for n=1,2,... . What does Za converge in probability to? Please state both the value and the reasoning by which Z converges in probability to it.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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