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.
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34e707e4-5f38-4824-941d-2307d1f5a6de%2Fab6c2599-2cd4-4ddc-90d0-8bf3feaef958%2Fras0n2h_processed.jpeg&w=3840&q=75)
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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