The table shows the results of a survey of 100 authors by a publishing

Agaiepsh

Agaiepsh

Answered question

2021-11-16

The table shows the results of a survey of 100 authors by a publishing company.
New AuthorsEstablished AuthorsTotalSuccessful153045Unsuccessful203555Total3565100
Compute the following conditional probability. (Enter your probability as a fraction.)
An author is established, given that he is unsuccessful.

Answer & Explanation

Warajected53

Warajected53

Beginner2021-11-17Added 12 answers

Step 1
Express the conditional probability formula.
P(AB)=P(AB)P(B)
Here, P(A/B) represents probability of A given B, P(AB) represents probability of A and B and P(B) is the probability of P(B).
Step 2
Let A be the established author and B be the unsuccessful author.
From the table,
P(B)=55100
P(AB)=35100
Then, the probability that the author is established and successful is,
P(AB)=3510055100
=711
Therefore, the probability is 711.

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