Respuesta :
Answer:
The parameters of this exponential distribution is [tex]\lambda[/tex] = [tex]\frac{1}{27}[/tex] .
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;
[tex]f(x) = \lambda e^{-\lambda x} , x >0[/tex] where, [tex]\lambda[/tex] = parameter of distribution.
Now, the mean of exponential distribution is = [tex]\frac{1}{\lambda}[/tex] which is given to us as average value of 27 minutes that means [tex]\lambda = \frac{1}{27}[/tex] .
So, X ~ Exp( [tex]\lambda = \frac{1}{27}[/tex] ) .
Therefore, the parameter of this exponential distribution is [tex]\lambda[/tex] .
