program analysis

(e) A file is protected by a random password consisting of n binary bits. All password combinations are equally probable. To access the file we need the correct password. The process of applying the password to the file takes 20ms regardless of the value of n. Brute force attack is always a viable basic strategy for guessing a password. To ensure that the file remains sufficiently secure, we need to ensure that there is no more than a 2% chance over 30 days that the password is guessed by a hacker program utilizing brute force working 24 hours a day, 7 days a week. How many bits should be specified for the password