Question

The random variable X is exponentially distributed, where X represents the waiting time to see a shooting star during a meteor shower. If X has an average value of 85 seconds, what are the parameters of the exponential distribution

Answer 1

the parameters are
`\lambda = (1)/(85) , \mu = 85, \sigma = 85`

Explanation:

The computation of the parameters of the exponential distribution is as follows:

Given that

X has an average value of 85 seconds

So,
`\mu` = mean = 85

`\lambda = (1)/(\mu)\\\\= (1)/(85)`

`\sigma = \mu = 85`

In the case of the exponential distribution, the mean would be equivalent to the standard deviation

So, the parameters are
`\lambda = (1)/(85) , \mu = 85, \sigma = 85`