Look at your classmates’ distribution. Is there any well-known distribution that could be used to model their random phenomenon? Some well-known discrete distributions are: Uniform, Bernoulli,...

The data of the 10-day mileage-log is given and the mean comes out to be 60.1 and the variance comes out to be 94.69. The data could be thus summarized in terms of density or distributional aspect. The histogram with an estimated empirical density plot is given below along with the boxplot of the data.

One can clearly see that the distribution is quite a little bit skewed but since the size of the data is quite small and hence it might be aligned to a symmetric distribution if not entirely but approximately at least. Along with that the data is simply the recordings of mileage-log for each day and hence it should not be considered as a number of events occurring in a particular time interval and hence the Poisson distribution is eliminated to fit for the data. Similarly, based on some reasons like that. Hence, no any clear answer is perfect as it seems. One can go on searching for the potential candidates closest to the distribution of the data. So, one suitable distribution could be though the binomial distribution. Where the number of days could be thought of as number of trials. Also, from the boxplot of the data it is quite clear that there is no outlier present in the data and thus no removal of such point is required. Also, one could think about the data to follow uniform discrete distribution with a range...