Question: 3. Let X ~ Binomial(200, 0.4). (a) Find P(70 3. Let X Binomial(200, 0.4). (b) (c) Find P(70 < X < 90) in numerical form.

3. Let X ~ Binomial(200, 0.4). (a) Find P(70

3. Let X Binomial(200, 0.4). (b) (c) Find P(70 < X < 90) in numerical form. You may using computing software (Geogebra/mathematica/others) to get the answer. Give a normal distribution W that match well with X under CLT, i.e., find W so that < k) k). Approximate the probability in (a) using the Normal distribution in (b).

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