Question

In: Statistics and Probability

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

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

   New Authors Established Authors Total
Successful 10 30 40
Unsuccessful 10 50 60
Total 20 80 100

Compute the following conditional probability.

An author is established, given that she is successful.


2) The table shows the results of a survey of 100 authors by a publishing company.

   New Authors Established Authors Total
Successful 15 25 40
Unsuccessful 10 50 60
Total 25 75 100

Compute the following conditional probability.

An unsuccessful author is established.

Solutions

Expert Solution

   New Authors Established Authors Total
Successful 10 30 40
Unsuccessful 10 50 60
Total 20 80 100

P[ An author is established, given that she is successful ] = P[ An author is established and she is successful ] / P[ she is successful ]

P[ she is successful ] = Number of successful author / Total number of authors

P[ she is successful ] = 40/100

P[ An author is established and she is successful ] = Number of established and successful author / Total number of authors

P[ An author is established and she is successful ] = 30/100

P[ An author is established, given that she is successful ] = ( 30/100)/(40/100)

P[ An author is established, given that she is successful ] =3/4

P[ An author is established, given that she is successful ] = 0.75

   New Authors Established Authors Total
Successful 15 25 40
Unsuccessful 10 50 60
Total 25 75 100

P[ An author is established given she is unsuccessful ] = P[ An author is established and she is unsuccessful ] / P[ she is unsuccessful ]

P[ An author is established and she is unsuccessful ] = Number of established and unsuccessful authors / Total number of authors

P[ An author is established and she is unsuccessful ] = 50/100

P[ she is unsuccessful ] = Number of unsuccessful authors / Total number of authors

P[ she is unsuccessful ] = 60/100

P[ An author is established given she is unsuccessful ] = (50/100)/(60/100)

P[ An author is established given she is unsuccessful ] = 5/6

P[ An author is established given she is unsuccessful ] = 0.8333

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A) The table below shows the results of a survey that asked 1052 adults from a...
A) The table below shows the results of a survey that asked 1052 adults from a certain country if they would support a change in their​ country's flag. A person is selected at random. Complete parts​ (a) through​ (d). Support   Oppose Unsure Total Males 151 332 10 493 Females 244 296 19 559 Total 395 628 29 1052 ​(a) Find the probability that the person opposed the change or is female. ​(b) Find the probability that the person supports the...
The table below shows the results of a survey that asked 28632863 people whether they are...
The table below shows the results of a survey that asked 28632863 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts​ (a) through​ (e). Frequently    Occasionally Not at all Total Male 224 456 791 1471 Female 205 440 747 1392 Total 429 896 1538 2863 ​(a) Find the probability that the person is frequently or occasionally involved in charity work. Upper P left parenthesis being frequently involved...
The table to the right shows the results of a survey in which 400 adults from...
The table to the right shows the results of a survey in which 400 adults from the​ East, 400 adults from the​ South, 400 adults from the​ Midwest, and 400 adults from the West were asked if traffic congestion is a serious problem. Complete parts​ (a) and​ (b). Adults who say that traffic congestion is a serious problem East 34​% South 33​% Midwest 27​% West 56​% ​(a) Construct a​ 99% confidence interval for the proportion of adults from the East...
The table to the right shows the results of a survey in which 2600 adults from...
The table to the right shows the results of a survey in which 2600 adults from Country​ A, 1117 adults from Country​ B, and 1091 adults from Country C were asked if human activity contributes to global warming. Complete parts​ (a), (b), and​ (c). a) Construct a 90​% confidence interval for the proportion of adults from Country Upper A who say human activity contributes to global warming. (b) Construct a 90​% confidence interval for the proportion of adults from Country...
1- The table to the right shows the results of a survey in which 2558 adults...
1- The table to the right shows the results of a survey in which 2558 adults from Country A, 1123 adults from Country B, and 1089 adults from Country C were asked if they believe climate change poses a large threat to the world. Complete parts (a), (b), and (c). Does climate change pose a large threat to the world? Country Yes 99% CI A 27 % (0.247 comma 0.293 ) B 55 % (0.512 comma 0.588 ) C 28...
The table below shows the results of a survey that asked 2867 people whether they are...
The table below shows the results of a survey that asked 2867 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts​ (a) through​ (b). Frequently    Occasionally Not at all Total Male 221 453 792 1466 Female 208 450 743 1401 Total 429 903 1535 2867 ​(a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved)=...
The table below shows the results of a survey that asked 2864 people whether they are...
The table below shows the results of a survey that asked 2864 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts​ (a) through​ (d). Frequently    Occasionally   Not at all   Total Male 228 458 792   1478 Female 205 440 741   1386 Total 433 898 1533 2864 ​(a) Find the probability that the person is frequently or occasionally involved in charity work. Upper P left parenthesis being frequently...
The table shows the results of a survey in which separate samples of 400 adults each...
The table shows the results of a survey in which separate samples of 400 adults each form the East, South, Midwest, and West were asked if traffic congestion is a serious problem in their community East-36% South-32% Midwest-28% West-57% The 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem____,____ The 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem____,____? The...
The contingency table below shows the results of a survey of video viewing habits by age....
The contingency table below shows the results of a survey of video viewing habits by age. Video Viewing Platform Preferred Viewer Age Mobile/Laptop Device TV Screen Row Total 18–34 35 38 73 35–54 9 9 18 55+ 3 6 9 Column Total 47 53 100 Find the following probabilities or percentages: (a) Probability that a viewer is aged 18–34. (Round your answer to 2 decimal places.) Probability            (b) Probability that a viewer prefers watching videos on a TV...
The contingency table below shows the results of a survey of video viewing habits by age....
The contingency table below shows the results of a survey of video viewing habits by age. ideo Viewing Platform Preferred Viewer Age Mobile/Laptop Device TV Screen Row Total 18–34 30 38 68 35–54 10 10 20 55+ 3 9 12 Column Total 43 57 100 Find the following probabilities or percentages: (a) Probability that a viewer is aged 18–34. (Round your answer to 2 decimal places.) Probability             (b) Probability that a viewer prefers watching videos on a TV...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT