Calculate the following probabilities both exactly and by using a normal approximation: (a) P(X 8) where

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Calculate the following probabilities both exactly and by using a normal approximation:
(a) P(X ≥ 8) where X ~ B(10, 0.7)
(b) P(2 ≤ X ≤ 7) where X ~ B(15, 0.3)
(c) P(X ≤ 4) where X ~ B(9, 0.4)
(d) P(8 ≤ X ≤ 11) where X ~ B(14, 0.6)
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