Person P is walking with his dog every day. He decides to model the time intervals between dog encounters (i.e., how long does it take between two encounters) with the independent random variables Y1, ..., Yn. Person P wonders if the distribution in the model should be (a) exponential distribution (b) Poisson distribution (c) normal distribution Which alternative is most suitable for this model? What good, and bad parts does each choice have? And why do you consider the alternative you chose to be suitable over the others? Tell also, what are the appropriate parameters for the statistical model and parameter spaces for each of the alternatives (a), (b) and (c) in the previous problem. When the model would use the normal distribution, you can assume the (population) variance 02 = 1, so determining the parameter space only applies to the the expected value.

Fig: 1