At Acme Bank the total amount of money that customers withdrawfrom an automatic teller machine (ATM) each day is believed to benormally distributed with a mean of $8600 and a variance of6250000. i) At the beginning of weekday (M-F), the Acme Bank puts$10000 into the automatic teller machine. What is the probabilitythat the ATM becomes empty before the end of the day. ii) How muchshould the Acme Bank put in the ATM each day in order to satisfydaily demand 99% of the time. iii) On a Saturday if customerswithdraw from the (ATM) becomes below average, what is theprobability that it will be below $6000? iv) If you select randomsamples of 25 from Acme Bank ATM users, what percentage of thesample means withdraws would be more than 10,000 from the ATM? v)In a random sample of size 25, what is the probability that samplemean withdraw exceeds 12000?
