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Use the following to answer the questions below:A computer science student is writing a simplified ...

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Use the following to answer the questions below:A computer science student is writing a simplified ...

Use the following to answer the questions below:

A computer science student is writing a simplified version of the classic murder-mystery game Clue for his class project. In his implementation, there are three equally likely suspects: Miss Scarlet, Colonel Mustard, and Professor Plum. If Miss Scarlet is the murderer, there is a 40% chance she uses the knife, 35% chance she uses the lead pipe, and a 25% chance she uses the rope. If Colonel Mustard is the murderer, there is a 20% chance he uses the knife, a 30% chance he uses the lead pipe, and a 50% chance he uses the rope. If Professor Plum is the murderer, there is a 30% chance he uses the knife, a 40% chance he uses the lead pipe, and a 30% chance he uses the rope.

Round all answers to three decimal places.

Suppose while playing the game you discover that the lead pipe is the murder weapon. Given this information, what is the probability that Professor Plum is the murderer?

Textbook

Statistics: Unlocking the Power of Data

Edition: 3^rd

Authors: Lock, Morgon

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