In: Statistics and Probability
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]