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

Answer:

the parameters are $\lambda = \frac{1}{85} , \mu = 85, \sigma = 85$

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, $\mu$ = mean = 85

$\lambda = \frac{1}{\mu}\\\\= \frac{1}{85}$

$\sigma = \mu = 85$

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

So, the parameters are $\lambda = \frac{1}{85} , \mu = 85, \sigma = 85$