Find the mean value, the standard deviation and the skewness of the exponential distribution: fx (x) = { ke-² for z>0 otherwise where k is a positive constant. Also, prove for this distribution that the moment about the origin of order n is given by: n!/k".
Find the mean value, the standard deviation and the skewness of the exponential distribution: fx (x) = { ke-² for z>0 otherwise where k is a positive constant. Also, prove for this distribution that the moment about the origin of order n is given by: n!/k".
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Hi I wasn't sure on how to start the problem. I'm not sure how to go about looking for the proof
Transcribed Image Text:Find the mean value, the standard deviation and the skewness of the exponential distribution:
fx(x) = { ke
ke-k for 1>0
otherwise
where k is a positive constant. Also, prove for this distribution that the moment about the
origin of order n is given by: n!/k".
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