Suppose that you have collected the following data for the interarrival times for customers arriving to a service system

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Suppose that you have collected the following data for the interarrival times for customers arriving to a service system (in minutes): 3.2, 4.1, and 3.8. Suppose that you are assuming exponential interarrival times.
What is the likelihood function for this situation?Give the likelihood function values for β = 2, β = 3, β = 3.7, β = 4, and β = 5, respectively, where the density function for the exponential is given by (1/β)e–x/β.Which value for β gives the largest likelihood function value? Why?