Even with email, offices use a lot of paper. The manager of an office has estimated how many reams (packs of 500 sheets) are used each day and has assigned these probabilities. (a) How many reams...

Even with email, offices use a lot of paper. The manager of an office has estimated how many reams (packs of 500 sheets) are used each day and has assigned these probabilities.

(a) How many reams should the manager expect to use each day?

(b) What is the standard deviation of the number of reams?

(c) If the storeroom has 20 reams at the start of the day, how many should the manager expect to find at the end of the day?

(d) Find the standard deviation of the number of reams found at the end of the day.

(e) Find the mean and standard deviation of the number of pages of paper used each day (assuming that each ream is completely used).