Calculate the following probabilities both exactly and by using a normal approximation: (a) P(X 7) where

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Calculate the following probabilities both exactly and by using a normal approximation:
(a) P(X ≥ 7) where X ~ B(10, 0.3)
(b) P(9 ≤ X ≤ 12) where X ~ B(21, 0.5)
(c) P(X ≤ 3) where X ~ B(7, 0.2)
(d) P(9 ≤ X ≤ 11) where X ~ B(12, 0.65)
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