Textbook ExpertVerified Tutor
8 Nov 2021
Given information
Use the following information to answer the next seven exercises. A distribution is given as
Step-by-step explanation
Step 1.
The cumulative density function of the exponential distribution is given by,
is the decay parameter.
The mean of the exponential distribution is given by,
Since, the decay parameter .
Therefore,
The mean of the distribution is
Taking, log on both sides of the distribution function.
The median is
Compare mean and median of the distribution, mean is greater than the median.
The mean is larger than the median.
Therefore, the mean is larger than the median.
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