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03 Dec 2023, 12:19
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Dropdown 1: 0.14
Dropdown 2: 0.02
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
60% (02:28) correct
40%
(02:37)
wrong
based on 1420
sessions
History
Date
Time
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Not Attempted Yet
Attachment:
12.jpg [ 42.01 KiB | Viewed 42024 times ]
For a given city, the graph represents the daily deviation, in degrees Fahrenheit (°F), of the high temperature from the expected high temperature for each day in a 100-day period. Data is grouped into disjoint classes of deviations: for each value of T marked on the horizontal axis, the class centered at T includes all observed deviations greater than or equal to (T-2)°F but less than (T+2)°F. The height of each bar represents the number of deviations in the corresponding class. A given day's high temperature is x°F less than seasonal if it is x°F less than the left endpoint of the class centered at 0, and the high temperature is x°F greater than seasonal if it is x°F greater than the right endpoint of the class centered at 0.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
For a randomly selected day in this 100-day period, the probability that the high temperature was more than 4°F less than seasonal is and the probability that the high temperature was more than 8°F less than seasonal is
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GMAT-Club-Forum-puu3xcxg.png [ 173.07 KiB | Viewed 3845 times ]
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Dropdown 1: 0.14
Dropdown 2: 0.02
04 Dec 2023, 11:17
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Video solution here (3:38):
It's essential to read carefully, to fully understand the graph and what it's asking for. We must find the specific definition of "4°F less than seasonal" in the passage.
It's essential to read carefully, to fully understand the graph and what it's asking for. We must find the specific definition of "4°F less than seasonal" in the passage.
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2023-12-04 10_15_32-12+2 - OneNote.png [ 1022.34 KiB | Viewed 41165 times ]
08 Apr 2024, 22:51
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parkhydel
Attachment:
12.jpg
For a given city, the graph represents the daily deviation, in degrees Fahrenheit (°F), of the high temperature from the expected high temperature for each day in a 100-day period. Data is grouped into disjoint classes of deviations: for each value of T marked on the horizontal axis, the class centered at T includes all observed deviations greater than or equal to (T-2)°F but less than (T+2)°F. The height of each bar represents the number of deviations in the corresponding class. A given day's high temperature is x°F less than seasonal if it is x°F less than the left endpoint of the class centered at 0, and the high temperature is x°F greater than seasonal if it is x°F greater than the right endpoint of the class centered at 0.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
For a randomly selected day in this 100-day period, the probability that the high temperature was more than 4°F less than seasonal is and the probability that the high temperature was more than 8°F less than seasonal is
How to read the graph:
- for each value of T marked on the horizontal axis, the class centered at T includes all observed deviations greater than or equal to (T-2)°F but less than (T+2)°F.
This means that the bar centred at 0 goes from -2 to 2 (obvious from the graph) but the values it includes are -2 <= x < 2
- The height of each bar represents the number of deviations in the corresponding class.
The height of this bar centred at 0 is 34 so there were 34 days when the daily deviation was -2 to 2.
- A given day's high temperature is x°F less than seasonal if it is x°F less than the left endpoint of the class centered at 0, and the high temperature is x°F greater than seasonal if it is x°F greater than the right endpoint of the class centered at 0.
The left endpoint of class centred at 0 is -2 and right endpoint is 2.
A given day's high temperature is x°F less than seasonal if it is x°F less than -2
A given day's high temperature is x°F greater than seasonal if it is x°F greater than 2.
Example, for a day, the high temperature was more than 4°F less than seasonal when it was less than -6.
and for a day, the high temperature was more than 4°F greater than seasonal when it was more than 6.
Question: For a randomly selected day in this 100-day period, the probability that the high temperature was more than 4°F less than seasonal is ___ and the probability that the high temperature was more than 8°F less than seasonal is ___
There are 100 days.
4°F less than seasonal is values to the left of -6. There are 12 + 2 = 14 such values.
Probability = 14/100 = 0.14
8°F less than seasonal is values to the left of -10. There are 2 such values.
Probability = 2/100 = 0.02
ANSWER: 0.14, 0.02
