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  3. a random variable x has the following pmf: x

a random variable X has the following pmf: X -1 0 1 P[X] 0.25 0.5 0.25 Define Y = X2 & W= Y+2. Which one...

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Question

Statistics

a random variable X has the following pmf:

X

-1

0

1

P[X]

0.25

0.5

0.25

Define Y = X2 & W= Y+2.

Which one of the following statements is nottrue?

  1. V[Y] = 0.25.

  2. E[XY] = 0.

  3. E[X3] = 0.

  4. E[X+2] = 2.

  5. E[Y+2] = 2.5.

  6. E[W+2] = 4.5.

  7. V[X+2] = 0.5.

  8. V[W+2] = 0.25.

  9. P[W=1] = 0.5

  10. X and W are not independent.

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