Let X be  a continuous random variable with P(X<0)=0. When E(X)=\mu exists, P(X\ge 3\mu) \le \frac{1}{(a)} by the Markov's inequality. What is (a)?      Consider two random variables X and Z. The relationship between X and Z is given as X=1+2Z.  Let Z be a random variable with moment generating function (mgf), M_Z(t) = (1-t)^{-3}, for t<1. What is the expectation of X

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Chapter1: Combinatorial Analysis
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Answer the following questions.

Let X be  a continuous random variable with P(X<0)=0. When E(X)=\mu exists, P(X\ge 3\mu) \le \frac{1}{(a)} by the Markov's inequality. What is (a)? 

 

 

Consider two random variables X and Z. The relationship between X and Z is given as X=1+2Z.  Let Z be a random variable with moment generating function (mgf), M_Z(t) = (1-t)^{-3}, for t<1. What is the expectation of X? 


 

 
Answer the following questions.
Let X be acontinuous random variable with P(X <0) =0.When E(X)= µ
Choose...
exists, P(X > 3µ) < by the Markov's inequality. What is (a) ?
Consider two random variables X and Z. The relationship between X and Z is given as
X = 1+2Z
Let 7 be a random variable with moment generating function (mgf),
Choose... +
Mz(t) = (1 – t) , for t <1
-3
What is the expectation of X ?
Transcribed Image Text:Answer the following questions. Let X be acontinuous random variable with P(X <0) =0.When E(X)= µ Choose... exists, P(X > 3µ) < by the Markov's inequality. What is (a) ? Consider two random variables X and Z. The relationship between X and Z is given as X = 1+2Z Let 7 be a random variable with moment generating function (mgf), Choose... + Mz(t) = (1 – t) , for t <1 -3 What is the expectation of X ?
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