$2.$ The Ministry of Education, Culture, Research and Technology's Higher Education Database $($PDDikti Kemendikbudristek$)$ released data on the highest number of students who dropped out $($DO$)$ from all levels in Indonesia. It is recorded that the average number of student dropout cases in Indonesia reached $7$ percent in $2019.$ If the number of Physics Engineering students in the class of $2020$ is $150$ students, determine:

a$.$ Poisson distribution function from data on the number of DO students in Indonesia.

b$.$ probabilities $0,1,2,3,4,$ and $5$ DO students in the Department of Engineering Physics. c$.$ questions a$)$ and b$)$ for the binomial distribution

d$.$ Compare the two results and give your opinion.