During a behavioral experiment in a psychology class, each student is asked to compute his or herlucky number by raising 7 to the power of the students favorite day of the week (numbered 1through 7 for Monday through Sunday respectively), multiplying the result by 3, and adding this tothe doubled age of the student in years, rounded to the nearest year. If a class consists of 28students, what is the probability that the median lucky number in the class will be a non-integer?a)0%b)10%c)20%d)30%e)40%Correct answer is option 'A'. Can you explain this answer?

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During a behavioral experiment in a psychology class, each student is asked to compute his or herlucky number by raising 7 to the power of the student's favorite day of the week (numbered 1through 7 for Monday through Sunday respectively), multiplying the result by 3, and adding this tothe doubled age of the student in years, rounded to the nearest year. If a class consists of 28students, what is the probability that the median lucky number in the class will be a non-integer?

a)
0%
b)
10%
c)
20%
d)
30%
e)
40%

Correct answer is option 'A'. Can you explain this answer?

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During a behavioral experiment in a psychology class, each student is ...

Since any power of 7 is odd, the product of this power and 3 will always be odd. Adding this odd number to the doubled age of the student (an even number, since it is the product of 2 and some integer) will always yield an odd integer. Therefore, all lucky numbers in the class will be odd.

The results of the experiment will yield a set of 28 odd integers, whose median will be the average of the 14th and 15th greatest integers in the set. Since both of these integers will be odd, their sum will always be even and their average will always be an integer. Therefore, the probability that the median lucky number will be a non-integer is 0%.

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During a behavioral experiment in a psychology class, each student is ...

Explanation:

Given Information:
- Each student computes their lucky number by following a specific formula involving their favorite day of the week, age, and some calculations.
- The class consists of 28 students.

Calculation for Median Lucky Number:
- To find the median lucky number in the class, we first need to arrange all 28 lucky numbers in ascending order.
- Since the class size is even (28 students), the median will be the average of the 14th and 15th lucky numbers in the ordered list.

Determining the Probability of Median Lucky Number being Non-Integer:
- For the median lucky number to be non-integer, both the 14th and 15th lucky numbers must be non-integer.
- However, the formula provided involves raising 7 to the power of a day of the week (1-7), multiplying by 3, and adding the doubled age rounded to the nearest year. This process is likely to result in integer values for most students.
- Since the formula involves integer operations and rounding, the probability of getting a non-integer lucky number is very low.
- As a result, the probability that the median lucky number in the class will be a non-integer is close to zero.
Therefore, the correct answer is option A) 0%.

Answered by Talent Skill Learning · View profile

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During a behavioral experiment in a psychology class, each student is asked to compute his or herlucky number by raising 7 to the power of the student's favorite day of the week (numbered 1through 7 for Monday through Sunday respectively), multiplying the result by 3, and adding this tothe doubled age of the student in years, rounded to the nearest year. If a class consists of 28students, what is the probability that the median lucky number in the class will be a non-integer?a)0%b)10%c)20%d)30%e)40%Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about During a behavioral experiment in a psychology class, each student is asked to compute his or herlucky number by raising 7 to the power of the student's favorite day of the week (numbered 1through 7 for Monday through Sunday respectively), multiplying the result by 3, and adding this tothe doubled age of the student in years, rounded to the nearest year. If a class consists of 28students, what is the probability that the median lucky number in the class will be a non-integer?a)0%b)10%c)20%d)30%e)40%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for During a behavioral experiment in a psychology class, each student is asked to compute his or herlucky number by raising 7 to the power of the student's favorite day of the week (numbered 1through 7 for Monday through Sunday respectively), multiplying the result by 3, and adding this tothe doubled age of the student in years, rounded to the nearest year. If a class consists of 28students, what is the probability that the median lucky number in the class will be a non-integer?a)0%b)10%c)20%d)30%e)40%Correct answer is option 'A'. Can you explain this answer?.

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