Researchers have an interest in studying pregnancy among women taking a new IVF treatment. The 75 women undergoing this treatment at the local clinic have agreed to participate in the study. Of the 75 women, 55 of them have given birth while taking this new treatment. Use this information to answer the following questions

a) If X represents the number of IVF patients on this new treatment who have given birth, what distribution does X follow? b) If we sample 50 patients, how likely will 40 of them have given birth? c) If we sample 15 patients, how likely will all 15 have given birth? d) If we sample 4 patients, how likely will at most 2 have given birth?