In: Statistics and Probability
Recall the airplane cargo problem we have discussed in our first lecture. An air-freight company has 8 adjacent positions on its Boeing-727 aircraft for freight containers. The weights of this containers depend on what they are carrying. and company statistics indicate that %7 of the containers are classified as ”heavy”. While heavy containers are not inherently dangerous, having two such containers next to each other is considered dangerous should the plane encounter a wind gust.
Understandably, company wants to know how often will it be in a situation where two heavy cargo are next to each other, given that it loads the cargo in a random fashion. One of the engineers claim that this scenario is very unlikely, since chances of loading a single heavy crate is low (%7) and hence having two such containers next to each other is a very low chance event. Is the engineer right? Discuss using random variables and probabilities