Week 5: Chapter 6 Exercise 1 A pipeline is 100 miles long and a rupture is equal

Question

Week 5: Chapter 6 Exercise 1 A pipeline is 100 miles long and a rupture is equally likely to occur at o every point on the pipeline. To answer the following questions, assume that the pipeline is definitely going to rupture at some point. Let x be the random Each person should answer only one part of this problem and the parts should be answered in order, L.e., first person answer part a), second person answer part b), etc a) Is x a discrete or continuous random variable? variable which gives the distance between the beginning of the pipeline and the rupture point. Would the distribution of possible rupture distances be a uniform, skewed, or normal distribution? hat does PO s x s 100) mean (in words) and what is its value?

Explanation / Answer

(c)

P(0 <= x <= 100) is the probability that the point of rupture in the pipe lies within a 100 miles from the beginning of the pipe.

Since it is given that the length of the pipeline is 100 miles, and it is also given that the pipe will certainly rupture at some point, so it implies that the point of rupture will definitely lie within a 100 miles from the beginning of the pipe.

S, we have:

P(0 <= x <= 100) = 1

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