# Question

A Wired Equivalent Privacy (WEP) key is a security code that one must enter in order to access a secure WiFi network. The characters in the key are used from the numbers 0 to 9 and letters from A to F, which gives 16 possibilities for each character of the key. Repeats are allowed, that is, the same letter or number can be used more than once in a key. A WEP key for a WiFi network with 64-bit security is 10 characters long.

a. How many different 64-bit WEP keys can be made by using the given numbers and letters?

b. A specific 64-bit network has a WEP key in which the 2nd, 5th, 8th, and 9th characters are numbers and the other 6 characters are letters. How many different WEP keys are possible for this network?

c. A hacker has determined that the WiFi network mentioned in part b will lock him out if he makes 20,000 unsuccessful attempts to break into the network. What is the probability that the hacker will be locked out of the network?

a. How many different 64-bit WEP keys can be made by using the given numbers and letters?

b. A specific 64-bit network has a WEP key in which the 2nd, 5th, 8th, and 9th characters are numbers and the other 6 characters are letters. How many different WEP keys are possible for this network?

c. A hacker has determined that the WiFi network mentioned in part b will lock him out if he makes 20,000 unsuccessful attempts to break into the network. What is the probability that the hacker will be locked out of the network?

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