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Suppose a random variable X is normally distributed with mean 65.3 and standard deviation 9.4. Answer...

Suppose a random variable X is normally distributed with mean 65.3 and standard deviation 9.4. Answer the following questions:

1. P(47.44 < X < 76.58) = [round to 4 decimal places]

2. P(X ≤ 46.50) = [round to 4 decimal places]

3. P(X = 76.58) = [round to 4 decimal places]

4. Suppose a is such that: P(X ≤ a) = 0.39. Then a = [round to 2 decimal places]

5. What is the IQR (inter-quartle range) of X? [round to 2 decimal places]

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