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\(\begin{array}{cc}
x & \text{frequency}\\
1 & 3\\
2 & 1\\
3 & 3\\
4 & 1\\
5 & 3\\
6 & 1\\
7 & 3\\
\end{array}\)
The variable \(x\) takes on integer values between \(1\) and \(7\) inclusive as shown above. What is the probability that the absolute value of the difference between the mean of the distribution which is \(4\) and a randomly chosen value of \(x\) will be greater than \(\dfrac32?\)
A) \(\dfrac8{15}\)
B) \(\dfrac47\)
C) \(\dfrac45\)
D) \(\dfrac67\)
E) \(\dfrac87\)
Answer: A
Source: GMAT Prep
x & \text{frequency}\\
1 & 3\\
2 & 1\\
3 & 3\\
4 & 1\\
5 & 3\\
6 & 1\\
7 & 3\\
\end{array}\)
The variable \(x\) takes on integer values between \(1\) and \(7\) inclusive as shown above. What is the probability that the absolute value of the difference between the mean of the distribution which is \(4\) and a randomly chosen value of \(x\) will be greater than \(\dfrac32?\)
A) \(\dfrac8{15}\)
B) \(\dfrac47\)
C) \(\dfrac45\)
D) \(\dfrac67\)
E) \(\dfrac87\)
Answer: A
Source: GMAT Prep
