Please write step by step solution with the correct calculation. Please make sure that you understand the question completely. You do not need to type. You can just scan the solution. Thank you.

Each month your company buys a random number IV of items from a supplier. We assume that I follows a Poisson distribution with parameter A = 10Each purchased item has a 10%probability of being defective. You can assume that items are independent of each other, Let D be the number of defective items in a given month. Find E [ Djand the distribution of D(of course you can find the former from the latter, but partial marks will be given if you only compute E [D)