Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 12.0 kips and standard deviation 1.25 kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables. (Round your answers to four decimal places.) (a) P(X S 12) (b) P(X < 13.25) (c) P(X 2 5.75) (d) P(10 sxS 15) (e) P(IX – 12| s 2)

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Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 12.0 kips and standard deviation 1.25 kips. Compute the following probabilities by standardizing and then using a standard normal curve
table from the Appendix Tables. (Round your answers to four decimal places.)
(a)
P(X S 12)
(b)
P(X < 13.25)
(c)
P(X 2 5.75)
(d)
P(10 sxS 15)
(e)
P(IX – 12| s 2)
Transcribed Image Text:Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 12.0 kips and standard deviation 1.25 kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables. (Round your answers to four decimal places.) (a) P(X S 12) (b) P(X < 13.25) (c) P(X 2 5.75) (d) P(10 sxS 15) (e) P(IX – 12| s 2)
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