Suppose that the sizes (in KB) of email messagesXnin a mailbox are independent

and identically distributed according to a geometric distribution with sample spaceSX= {0,1,2,...} .

Suppose that the average size of

an email message is 2KB. If the total number of email messages in the mailbox is 550, use the central limit to theorem to estimate the required size of the mailbox so that it can hold all of the messages with 90% probability.