2019 July

Question 5

(a)

Suppose a structural engineer decided to use a uniform distribution to model the

strength of concrete in an existing bridge. Based on his/her experience, the

strength of concrete is in the range of 3 to 4 (unit: ksi). The engineer believes that

all the values in this range are equally likely.

Identify and write down the expressions for the probability density

function and cumulative distribution function.

(ii) Analyze and compute the probability that the strength of concrete is larger

than 3.6 ksi.