Question

# 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)

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 $\lambda$. The variance of the exponential distribution is Var(X)=1.

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