(Solution) - Suppose x is a normally distributed random variable with -(2025 Original AI-Free Solution)

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Suppose x is a normally distributed random variable with ? = 50 and ? = 3. Find a value of the random variable, call it x0, such that
a. P(x ? x0) = .8413
b. P(x > x0) = .025
c. P(x > x0) = .95
d. P(41 ? x ? x0) = .8630
e. 10% of the values of x are less than x0.
f. 1% of the values of x are greater than x0.