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Consider a discrete random variable Y that takes values -2, -1, 0, 1, and 2 with probability 0.2 each. The values of the cumulative distribution function G(y) at y = -1 and y = 1 are _____ and _____ respectively.
  • a)
    0 and 1
  • b)
    0.2 and 1
  • c)
    0.2 and 0.8
  • d)
    0.4 and 0.8
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider a discrete random variable Y that takes values -2, -1, 0, 1, ...

G(-1) = p(-2) + p(-1)
         = 0.2 + 0.2 = 0.4
G(1) = p(-2) + p(-1) + p(0) + p(1)
        = 0.2 + 0.2 + 0.2 + 0.2
        = 0.8
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