88 ::: STAT2102 .05a1b29cde X La8bdócf2c4sill Lis X + TT 2.8 T12 12 1.3 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 .

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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88
:::
STAT2102 .05a1b29cde X
La8bdócf2c4sill Lis X
+
TT
2.8
T12 12 1.3
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 .
Transcribed Image Text:88 ::: STAT2102 .05a1b29cde X La8bdócf2c4sill Lis X + TT 2.8 T12 12 1.3 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 .
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