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Updated on: 06 Mar 2024, 08:46
Originally posted by Sajjad1994 on 28 Jul 2021, 21:00.
Last edited by Sajjad1994 on 06 Mar 2024, 08:46, edited 2 times in total.
Last edited by Sajjad1994 on 06 Mar 2024, 08:46, edited 2 times in total.
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E-mail from Chief Information Officer to Chief Operating Officer
Between 2008 and 2011, the number of Problem Reports (reports of computers affected by viruses or malware) has gone up significantly, although the company still has approximately 1,000 computers in service, just as it did in 2008.
We have performed an investigation as to the cause of the problems and determined that the increase in the Problem Reports occurred after many company employees began using a non-recommended browser (a browser other than Browser A) as their default Internet browser. I recommend that all employees be required to use the same default browser in order to reduce these risks.
Between 2008 and 2011, the number of Problem Reports (reports of computers affected by viruses or malware) has gone up significantly, although the company still has approximately 1,000 computers in service, just as it did in 2008.
We have performed an investigation as to the cause of the problems and determined that the increase in the Problem Reports occurred after many company employees began using a non-recommended browser (a browser other than Browser A) as their default Internet browser. I recommend that all employees be required to use the same default browser in order to reduce these risks.
The number of Problem Reports generated per computer using Browser A increased by 40% from 2008 to 2011.: True
The number of Problem Reports generated per computer using a non-recommended browser decreased by 20% from 2008 to 2011.: True
In 2011, computers using Browser A generated 20% more Problem Reports per computer than did computers using non-recommended browsers.: False
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
24% (03:35) correct
76%
(03:12)
wrong
based on 308
sessions
History
Date
Time
Result
Not Attempted Yet
1. Consider each of the following statements. Based on the company's data, is the statement true or false?
| True | False | |
| The number of Problem Reports generated per computer using Browser A increased by 40% from 2008 to 2011. | ||
| The number of Problem Reports generated per computer using a non-recommended browser decreased by 20% from 2008 to 2011. | ||
| In 2011, computers using Browser A generated 20% more Problem Reports per computer than did computers using non-recommended browsers. |
ShowHide Answer
Official Answer
The number of Problem Reports generated per computer using Browser A increased by 40% from 2008 to 2011.: True
The number of Problem Reports generated per computer using a non-recommended browser decreased by 20% from 2008 to 2011.: True
In 2011, computers using Browser A generated 20% more Problem Reports per computer than did computers using non-recommended browsers.: False
7 out of 12
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
79% (01:42) correct
21%
(01:56)
wrong
based on 311
sessions
History
Date
Time
Result
Not Attempted Yet
2. What was the probability in 2008 that a Problem Report selected at random would be related to a computer using Browser A?
| 1 out of 3 | |
| 5 out of 12 | |
| 1 out of 2 | |
| 7 out of 12 | |
| 2 out of 3 |
ShowHide Answer
Official Answer
7 out of 12
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05 Nov 2022, 08:04
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Use the percentage-use graph in tab-2 for determining the percentage use of Browser-A in 2008 and 2011
Total computers=1000
In 2008, 700 out of 1000 computers used Browser-A
In 2011, 400 out of 1000 computers used Browser-A
Now, in tab-3 it is mentioned that - "In 2011, we only had 140 Problem Reports from computers using Browser-A, a decrease of 20% from 2008."
Hence, here, a decrease of 20% means we had 175 computers with Browser-A having problems in 2008.
So, out of 700 computers, 175 had problems with Browser-A in 2008
so the percentage of that is 0.25
And, out of 400 computers, 140 had problems with Browser-A in 2011
so the percentage of that is 0.35
This is how we get the 0.25 and 0.35 whose explanation was not provided in the solution above
Total computers=1000
In 2008, 700 out of 1000 computers used Browser-A
In 2011, 400 out of 1000 computers used Browser-A
Now, in tab-3 it is mentioned that - "In 2011, we only had 140 Problem Reports from computers using Browser-A, a decrease of 20% from 2008."
Hence, here, a decrease of 20% means we had 175 computers with Browser-A having problems in 2008.
So, out of 700 computers, 175 had problems with Browser-A in 2008
so the percentage of that is 0.25
And, out of 400 computers, 140 had problems with Browser-A in 2011
so the percentage of that is 0.35
This is how we get the 0.25 and 0.35 whose explanation was not provided in the solution above
26 Aug 2021, 08:58
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Official Explanation
1. Consider each of the following statements. Based on the company's data, is the statement true or false?
The number of Problem Reports generated per computer using Browser A increased by 40% from 2008 to 2011.
Based on the calculations used to evaluate the previous statements, the number of Problem Reports generated per computer using Browser A in 2008 was 0.25, compared to 0.35 in 2011. Use the percent change formula to calculate the increase: \(\frac{Difference}{Orginal} =\frac{0.35-0.25}{0.25}=\frac{0.1}{0.25} = 40\) percent, and so this statement is true.
The number of Problem Reports generated per computer using a non-recommended browser decreased by 20% from 2008 to 2011.
Based on the calculations used to evaluate the previous statements, the number of Problem Reports generated per computer using a non-recommended browser in 2008 was 5/12, compared to 1/3 in 2011. Use the percent change formula to calculate the decrease (using 4/12 in place 1/3 of to simplify the math): Difference/Original= (5/12 - 4/12)/(5/12) = (1/12)/(5/12) = 1/5 = 20 percent, and so this statement is true.
In 2011, computers using Browser A generated 20% more Problem Reports per computer than did computers using non-recommended browsers.
Based on the calculations used to evaluate the previous statements, the number of Problem Reports generated per computer using Browser A in 2011 was 0.35, compared to about 0.33 for computers using non-recommended browsers. Use the percent change formula to calculate the increase: \(\frac{Difference}{Original} =\frac{0.35-0.33}{0.33} = \frac{0.02}{0.33} \)= about 6 percent, and so this statement is false.
Answer: True, True and False
1. Consider each of the following statements. Based on the company's data, is the statement true or false?
The number of Problem Reports generated per computer using Browser A increased by 40% from 2008 to 2011.
Based on the calculations used to evaluate the previous statements, the number of Problem Reports generated per computer using Browser A in 2008 was 0.25, compared to 0.35 in 2011. Use the percent change formula to calculate the increase: \(\frac{Difference}{Orginal} =\frac{0.35-0.25}{0.25}=\frac{0.1}{0.25} = 40\) percent, and so this statement is true.
The number of Problem Reports generated per computer using a non-recommended browser decreased by 20% from 2008 to 2011.
Based on the calculations used to evaluate the previous statements, the number of Problem Reports generated per computer using a non-recommended browser in 2008 was 5/12, compared to 1/3 in 2011. Use the percent change formula to calculate the decrease (using 4/12 in place 1/3 of to simplify the math): Difference/Original= (5/12 - 4/12)/(5/12) = (1/12)/(5/12) = 1/5 = 20 percent, and so this statement is true.
In 2011, computers using Browser A generated 20% more Problem Reports per computer than did computers using non-recommended browsers.
Based on the calculations used to evaluate the previous statements, the number of Problem Reports generated per computer using Browser A in 2011 was 0.35, compared to about 0.33 for computers using non-recommended browsers. Use the percent change formula to calculate the increase: \(\frac{Difference}{Original} =\frac{0.35-0.33}{0.33} = \frac{0.02}{0.33} \)= about 6 percent, and so this statement is false.
Answer: True, True and False
2. What was the probability in 2008 that a Problem Report selected at random would be related to a computer using Browser A?
To calculate the probability that, in 2008, a Problem Report selected at random related to a computer running Browser A, you need to know the number of Problem Reports generated by computers running Browser A and the total number of Problem Reports generated in 2008.
Tab #3 states that in 2011, computers using Browser A generated 140 Problem Reports, and that this number represented a 20 percent reduction from 2008. Tab #3 also states that in 2011, computers using the other browsers generated 200 problem reports, and that this number represented a 60 percent increase from 2008.
Based on these figures, you can use the percent change formula to calculate the number of Problem Reports generated in 2008 by computers using Browser A:
\(\frac{difference}{original} = \frac{x-140}{x} = 20\)%, which simplifies to \(x – 140 = 0.2x; 0.8x = 140; \)and \(x = 175.\)
Also, you can calculate the number of Problem Reports generated in 2008 by computers using non-recommended browsers:
\(\frac{difference}{original} = \frac{200-x}{x} = 60\)%, which simplifies to \(200 – x = 0.6x; 1.6x = 200;\) and \(x = 125.\)
Therefore, the total number of Problem Reports generated in 2008 is equal to 175 + 125, or 300, and the probability that a Problem Report related to a computer using Browser A was equal to 175 divided by 300, which simplifies to 7 out of 12, and so this is the correct response.
Answer: D
To calculate the probability that, in 2008, a Problem Report selected at random related to a computer running Browser A, you need to know the number of Problem Reports generated by computers running Browser A and the total number of Problem Reports generated in 2008.
Tab #3 states that in 2011, computers using Browser A generated 140 Problem Reports, and that this number represented a 20 percent reduction from 2008. Tab #3 also states that in 2011, computers using the other browsers generated 200 problem reports, and that this number represented a 60 percent increase from 2008.
Based on these figures, you can use the percent change formula to calculate the number of Problem Reports generated in 2008 by computers using Browser A:
\(\frac{difference}{original} = \frac{x-140}{x} = 20\)%, which simplifies to \(x – 140 = 0.2x; 0.8x = 140; \)and \(x = 175.\)
Also, you can calculate the number of Problem Reports generated in 2008 by computers using non-recommended browsers:
\(\frac{difference}{original} = \frac{200-x}{x} = 60\)%, which simplifies to \(200 – x = 0.6x; 1.6x = 200;\) and \(x = 125.\)
Therefore, the total number of Problem Reports generated in 2008 is equal to 175 + 125, or 300, and the probability that a Problem Report related to a computer using Browser A was equal to 175 divided by 300, which simplifies to 7 out of 12, and so this is the correct response.
Answer: D
