A woman has seven keys on a key ring, one of which fits the door she wants to unlock. She randomly selects a key and tries it. If it does not unlock the door, she randomly selects another key from those remaining and tries to unlock the door with it. She continues in this manner until the door is unlocked. Let X be the number of keys she tries before unlocking the door, counting the key that actually worked. Find the probability function of X.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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4.13
A woman has seven keys on a key ring, one of which fits the door she wants to unlock. She randomly
selects a key and tries it. If it does not unlock the door, she randomly selects another key from
those remaining and tries to unlock the door with it. She continues in this manner until the door is
unlocked. Let X be the number of keys she tries before unlocking the door, counting the key that
actually worked. Find the probability function of X.
4 14
An obcont
. eooh of Gve letters to difforent noopl
Ho thon
Transcribed Image Text:4.13 A woman has seven keys on a key ring, one of which fits the door she wants to unlock. She randomly selects a key and tries it. If it does not unlock the door, she randomly selects another key from those remaining and tries to unlock the door with it. She continues in this manner until the door is unlocked. Let X be the number of keys she tries before unlocking the door, counting the key that actually worked. Find the probability function of X. 4 14 An obcont . eooh of Gve letters to difforent noopl Ho thon
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