1 let Z be a standard normal random variable and calculate t

1: let Z be a standard normal random variable and calculate the following probabilities:

a) P(0<=Z<=1)

b) P(-2.50<=Z<=0)

c) P(-2.50<=Z<=2.50)

d) P(-1.75<=Z)

e) P(1.37<=Z<=2.50)

2: 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. Compute the following probabilities by standardizing.

a) P(X<=17.5)

b) P(14<=X<=18)

c) P(|X-15|<=3)

Solution