Answer:
the parameters are [tex]\lambda = \frac{1}{85} , \mu = 85, \sigma = 85[/tex]
Step-by-step explanation:
The computation of the parameters of the exponential distribution is as follows:
Given that
X has an average value of 85 seconds
So, [tex]\mu[/tex] = mean = 85
[tex]\lambda = \frac{1}{\mu}\\\\= \frac{1}{85}[/tex]
[tex]\sigma = \mu = 85[/tex]
In the case of the exponential distribution, the mean would be equivalent to the standard deviation
So, the parameters are [tex]\lambda = \frac{1}{85} , \mu = 85, \sigma = 85[/tex]