Answer:
The parameters of this exponential distribution is =
.
Step-by-step explanation:
We are given that the random variable X is known to be exponentially distributed and let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes.
<u><em>So, X = time it takes for a person to choose a birthday gift</em></u>
The probability distribution function of exponential distribution is given by;
where,
= parameter of distribution.
Now, the mean of exponential distribution is = which is given to us as average value of 27 minutes that means
.
So, X ~ Exp( ) .
Therefore, the parameter of this exponential distribution is .