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

The probability function is defined as the function of a discrete random variable that gives the…

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. a. Find the pmf. b. Graph the probability function of X c. Graph the cdf of X

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. a. Find the pmf. b. Graph the probability function of X c. Graph the cdf of X

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.6: Functions Defined By Tables And Graphs

Problem 9WE

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Question

Typed

A woman has eight 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. a. Find the pmf. b.
Graph the probability function of X c. Graph the cdf of X

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Step 4: Graph the CDF of X

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