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Probabilities and Quantiles ... Suppose a random variable X is normally distributed with mean 67.7 and...

    1. Probabilities and Quantiles ...

Suppose a random variable X is normally distributed with mean 67.7 and standard deviation 7.7. Answer the following questions:

P(56.92 < X < 73.86) = [round to 4 decimal places]

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P(X ≤ 83.87) = [round to 4 decimal places]

Suppose a is such that: P(X ≤ a) = 0.68. Then a = [round to 2 decimal places]

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

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