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Suppose that x has a binomial distribution with n = 199 and p = 0.47. (Round...

Suppose that x has a binomial distribution with n = 199 and p = 0.47. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x. np n(1 – p) Both np and n(1 – p) (Click to select) 5 (b) Make continuity corrections for each of the following, and then use the normal approximation to the binomial to find each probability: 1. P (x = 81) 2. P (x ≤ 98) 3. P (x < 77) 4. P (x ≥ 105) 5. P (x > 101)

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