What error did Penelope make in her work?

Penelope should have added 4 to both sides instead of 1

Step-by-step explanation:

Penelope want to complete the square for

Penelope first of all equated the function to zero and added -1 to both sides to get,

Next Penelope factored 4 out of the right hand side of the equation to get,

Next Penelope needs to add half the coefficient of x multiplied by a factor of 4 to both sides to obtain,

But Penelope rather made a mistake and added 1.

Therefore the correct answer is C.

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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