Hi please use the given information to answer each part of the problem and please include a short explanation, drawing, or steps/formulas to improve my understanding of the problem. Please let me know if there's any questions, thank you!

A book has n typos. Alice and Bob read the book independently to nd the typos. Assume that Alice catches each typo independently with probability p; and Bob catches each typo independently with probability p2. (a) What is the sample space of this random experiment? (b) Let Y be the total number of typos caught. What is the pmf of Y? (c) What is the mean and variance of Y