Let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes. If the random variable X is known to be exponentially distributed, what are the parameters of this exponential distribution

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.

So, X = time it takes for a person to choose a birthday gift

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 .

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step-by-step explanation: