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Suppose the force acting on a column that helps to support a building is a normally...

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 15.0 kips and standard deviation 1.25 kips.

A. Find P(14≤X≤18)

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Answer #1

Solution :

Given that,

mean = = 15

standard deviation = = 1.25

P (14 ≤ x ≤18)

P ( 14- 15 / 1.25) ≤ ( x -  / ) ≤( 18 - 15 / 1.25)

P ( - 1 / 1.25< z ≤ 3 / 1.25 )

P (-0.80 < z < 2.40)

P ( z ≤ 2.40 ) - P ( z ≤ -0.80)

Using z table

= 0.9918 - 0.2119

= 0.7799

Probability = 0.7799

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