Question: Suppose x is a normally distributed random variable with \(\mu \) = 50 and \(\sigma \) = 3. Find a value of the random variable, call it xo, such that

1. P(x ≤ xo) = .8413
2. P(x > xo) = .025
3. P(x > xo) = .95
4. P(41 ≤ x < xo) = .8630
5. 10% of the values of x are less than xo.
6. 1% of the values of x are greater than Xo.

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