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b. If a random variable follows a Poisson distribution with λ = 4 and t =...

b. If a random variable follows a Poisson distribution with λ = 4 and t = 2. Find

    (i) The probability of more than 5 successes.

   (ii) The probability of at most 2 successes.

   (iii) The probability of less than 2 successes.

   (iv) The probability of between 2 and 5 successes, P(2 ≤ X ≤ 5).

  1. The expected value (E(x)), variance (σ2), and standard deviation of this Poisson

distribution.

(Show work)

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