Consider a continuous random variable X with the density function (exponential) ?(?)={?^−? ?? ?≥0 , 0...
Consider a continuous random variable X with the density
function (exponential) ?(?)={?^−? ?? ?≥0 , 0 ??ℎ??????}
a) Find and sketch the CDF for X
b) Find the mean and variance of X (I want to see your
calculation)
c) Find ?(1≤?≤2)
Homework Answers
Interpretation:
The measures of the central tendency
of the exponential distribution are mean and variance. The mean of
the exponential distribution is E(X)=1, the parameter of
the exponential distribution is . The variance
of the exponential distribution is Var(X)=1.
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Consider a continuous random variable X with the density function (exponential) ?(?)={?^−? ?? ?≥0 , 0...
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What is the equation for the corresponding cumulative density
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is
a continuous random variable with the probability density
function
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What is the equation for the corresponding cumulative density
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[Hint: Recall that CDF is defined as C(x) = P(X<=x).]
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