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There are 4 containers arranged on on a ship's deck labeled 1 through 4. Suppose that container i is placed correctly if it is in the ith spot when counting from the left. E.g., container 2 is placed correctly if it is in the second spot counting from the left. If they are randomly ordered, let X be the number of containers that are correctly placed. a. Find the probability function f(x) of X. (Show your work). Enter the value: f(1) = 1/3

There are 4 containers arranged on on a ship's deck labeled 1 through 4. Suppose that container i is placed correctly if it is in the ith spot when counting from the left. E.g., container 2 is placed correctly if it is in the second spot counting from the left. If they are randomly ordered, let X be the number of containers that are correctly placed. a. Find the probability function f(x) of X. (Show your work). Enter the value: f(1) = 1/3

A First Course in Probability (10th Edition)
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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Please clearly shows the steps. I'm not sure if my answer(1/3) is correct, so please just ignore it and calculate by yourself.

There are 4 containers arranged on on a ship's deck labeled 1 through 4. Suppose that container i is placed correctly if it is in the ith spot when counting from the left. E.g., container 2 is placed correctly if it is in the second spot counting from the left. If they are randomly ordered, let X be the number of containers that are correctly placed. a. Find the probability function f(z) of X. (Show your work). Enter the value: f(1) = 1/3
Transcribed Image Text:There are 4 containers arranged on on a ship's deck labeled 1 through 4. Suppose that container i is placed correctly if it is in the ith spot when counting from the left. E.g., container 2 is placed correctly if it is in the second spot counting from the left. If they are randomly ordered, let X be the number of containers that are correctly placed. a. Find the probability function f(z) of X. (Show your work). Enter the value: f(1) = 1/3
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