Each participant in an experiment was given one of three tasks. Let these three tasks be symbolized by A1,A2, A3 . The number of errors each participant made in performing the task was recorded by use of the categories “0 errors,” “1 error,” and “2 or more errors.” Thus, every participant was classified in two ways, by task and by number of errors. The following table shows the probabilities for these joint events for any participant drawn at random.Task ErrorsA1A2A3Total0.05.02.13.201.08.17.10.352 or more.20.15.10.45Total .33 .34 .33Use these probabilities to find:The marginal probabilities of the task events A1,A2, A3The marginal probabilities for numbers of errorsThe conditional probability for zero errors given task A1The conditional probability for two or more errors given task A2The conditional probability of task A3 given no errors

Given the joint probability table of three tasks and the number of errors each participant made in…

Answered: Each participant in an experiment was…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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Each participant in an experiment was given one of three tasks. Let these three tasks be symbolized by A_1,A_2,A₃. The number of errors each participant made in performing the task was recorded by use of the categories “0 errors,” “1 error,” and “2 or more errors.” Thus, every participant was classified in two ways, by task and by number of errors. The following table shows the probabilities for these joint events for any participant drawn at random.