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.

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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
converge in probability
to? Please state both the value and the reasoning by which Z converges in probability to it.
n
Transcribed Image Text: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 converge in probability to? Please state both the value and the reasoning by which Z converges in probability to it. n
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