can you show me steps to find the answer to this The probability model below is

Question

can you show me steps to find the answer to this

The probability model below is a little bit different. While you can not find the expected value from this table, you should be able to write two equations that must be true in the probability model. If you are told that the expected value is $0.40, which two equations must be true?

Select one:

4x - 2y + z = -0.74 AND x + y + z = 0.94

4x - 2y + z = 1.14 AND x + y + z = 0.06

4x - 2y + z = 0.74 AND x + y + z = -0.94

4x - 2y + z = -1.14 AND x + y + z = -0.06

Explanation / Answer

Ans:

Expected value=4x - 2y + z +19*0.06= 0.4

4x - 2y + z +1.14=0.4

4x-2y+z=-0.74

Also,

x+y+z+0.06=1

x+y+z=1-0.06=0.94

x+y+z=0.94

Hence ,the correct option is :

4x-2y+z=-0.74 and x+y+z=0.94

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