Could someone please help with the below & provide explanations for all 3 questions. Thank you so much!

Fully explain your answers for questions 2 and 3. 1. Let S be a set with 4 elements. A subset of S is chosen uniformly at random {from amongst all of the subsets of 5'}. Let X be the number of elements in the chosen subset. {i} 1Uiu'rite down the probability distribution of X . {11} What is E[X]? [Answers only required.] 2. A company makes cricket balls. One quarter of the balls the company makes are white and the rest are red. 10% of the white balls made are defective and 5% of the red balls made are defective. One of the balls made by the company is chosen uniformly at random. Given that the ba]l is defective1 what is the probability that it is white? [Full explanation required] 3. A random variable Y can only take values in {[1, 21 ft}. The expected value of Y is 2 and its variance is E. Find the probability distribution of Y. [Full explanation required]