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If X is a normal random variable with a mean of 78 and a standard deviation...

If X is a normal random variable with a mean of 78 and a standard deviation of 5, find the following probabilities:

a) P(X ≥ 78)

(1 Mark)

b) P(X ≥ 87)

(1 Mark)

c) P(X ≤ 91)

(1 Mark)

d) P(70 ≤ X ≤ 77)

(1 Mark)

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