solve this

a. The probability of recovering from a skin disease after applying a special cream is 0.4. Let Y be the variable, which represents the number of patients who will recover after applying the cream. i. If the total number of patients applying the cream is 15, state the distribution of Y. What is the mean and variance of Y. (4 marks) ii. If 10 patients have applied the cream, find the probability that 3 to 5 patients will recover. (3 marks) ili. If 100 patients have applied the cream, by using normal distribution approximation, calculate 30 to 50 will recover