An industrial expert conducts a test in which a randomly selected worker in requested to perform a particular task three times in succession. Each time the task is performed successfully, the worker is awarded one point . An additional bouns point is awarded if the worker succeeds all three times, and there is a 5 point penalty for three successive failures. Find the probability distribution for the random variable x that measure's the worker's test score and calculate the expected value??

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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An industrial expert conducts a test in which a randomly selected worker in requested to perform a particular task three times in succession. Each time the
task is performed successfully, the worker is awarded one point . An additional bouns point is awarded if the worker succeeds all three times, and there is a
5 point penalty for three successive failures.
Find the probability distribution for the random variable x that measure's the worker's test score and calculate the expected value??
Transcribed Image Text:An industrial expert conducts a test in which a randomly selected worker in requested to perform a particular task three times in succession. Each time the task is performed successfully, the worker is awarded one point . An additional bouns point is awarded if the worker succeeds all three times, and there is a 5 point penalty for three successive failures. Find the probability distribution for the random variable x that measure's the worker's test score and calculate the expected value??
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