probability

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Mathematics

Description

  • Find the PMF
  • Calculate and. Compare these with and; how and why do they differ?

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Let X ∼ Geometric(0.8), and Y = min(X, 3). a) Find the PMF b) Calculate 𝜇𝑌 and 𝜎𝑌 . Compare these with 𝜇𝑋 and 𝜎𝑋 ; how and why do they differ?
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Running Head: PROBABILITY

1

Probability
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PROBABILITY

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Let X ∼ Geometric(0.8), and Y = min(X, 3).
Solution
a) We calculate the PMF of Y as X with geometric distribution for 𝑋 = 1,2 and
cumul...


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