When an adequate sample is available, no distribution fitting is needed and the data are thought to be representative and there is no compelling reason to use a probability model (including the case that nothing appears to fit well), then using the data themselves is clearly an option (this is called Empirical Distribution).

But in some cases data is not available and you have to use anything you can find as a basis for your input models: engineering standards and ratings; expert opinion; physical or conventional limits or bounds; and the physics of the process itself.

Q1. Patients' arrival time with mean of 30 minutes

(A)Poisson Distribution

(B)Normal Distribution

(C)Exponential Distribution

(D) Uniform Distribution

Q2.Productivity rate of the equipment with minimum of 75% and maximum of 89%

(A)Poisson Distribution

(B)Normal Distribution

(C)Exponential Distribution

(D) Uniform Distribution