(Solved): Suppose the force acting on a column that helps to support a building is a normally distributed ran ...

Suppose the force acting on a column that helps to support a building is a normally distributed random variable \( X \) with mean value \( 19.0 \) kips and standard deviation \( 1.50 \) kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables or SALT. (Round your answers to four decimal places.) (a) \( P(X \leq 19) \) (b) \( P(X \leq 20.5) \) (c) \( P(x \geq 11.5) \) (d) \( P(17 \leq X \leq 22) \) (e) \( P(|X-19| \leq 1) \)