Exactly one of the numbers 2,3 5 and 7 is placed in each of the 4 empty regions formed by circles A, B and C so that the sum of the numbers in each circle is the same. Each number is used. What is the sum of the numbers in each circle? *

The sum of the numbers in each circle is 17

Step-by-step explanation:

The numbers to choose from are:

2, 3, 5, 7

By this alone the biggest number must be in the overlap of the three circles.

Then just fill in the numbers in such a way that they all are used.

The sum of the numbers in each circle is 17.

See picture for a solution.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0