## The variable $$x$$ takes on integer values between $$1$$ and $$7$$ inclusive as shown above. What is the probability

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### The variable $$x$$ takes on integer values between $$1$$ and $$7$$ inclusive as shown above. What is the probability

by M7MBA » Thu Sep 17, 2020 1:18 am

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## Global Stats

$$x$$ frequency
1 3
2 1
3 3
4 1
5 3
6 1
7 3

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) $$\dfrac87$$

Source: GMAT Prep

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### Re: The variable $$x$$ takes on integer values between $$1$$ and $$7$$ inclusive as shown above. What is the probability

by Scott@TargetTestPrep » Mon Sep 21, 2020 6:28 am
M7MBA wrote:
Thu Sep 17, 2020 1:18 am
$$x$$ frequency
1 3
2 1
3 3
4 1
5 3
6 1
7 3

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) $$\dfrac87$$

Solution:

The only values of x that give us |x - 4| > 3/2 are 1, 2, 6, and 7. Since we have a total of 3 + 1 + 3 + 1 + 3 + 1 + 3 = 15 values in the list and a total of 3 + 1 + 1 + 3 = 8 values that can be x, the probability is 8/15.