In a small town called Tatooine, the local beer brewery "Mos Eisley Cantina" is planning to send out an electronic promotion campaign with a free drink code to boost attendance for their Thursday night happy hour. The data for their past efforts is given in the file Tatooine.txt where 1 indicates a response/show and 0 indicates a no response/show. They would like to make sure that at least 100 customers will show up from the mailing list on Thursday night.

a) What is the minimum number of emails they need to send such that the probability of at least 100 customers showing up is 0.75?

b) Based on your answer in a, what is the expected number of customers that will show up on Thursday from the mailing list? What is the standard deviation of the number of customers that will show up on Thursday from the mailing list?

Data file link : https://drive.google.com/file/d/1yDpi4pv-tVrIdkGXxz2z4SPBI2N1l4Vz/view?usp=sharing