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An 10-bit password is required to access a system. A hacker systematically works through all possible...

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Basic Math

An 10-bit password is required to access a system. A hackersystematically works through all possible 10-bit patterns. Let ? bethe number of patterns tested until the correct password isfound.

(a) Find ?? and the pmf of ?.

Let ? be the event that the password has not been found after 24tries.

(b) Find the conditional pmf of ? given ?.

(c) Find ?(?) and ?(? | ?).

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