Probability Distribution - Modelling Passenger Weights on a Lift скачать в хорошем качестве

Probability Distribution - Modelling Passenger Weights on a Lift

Probability Distribution - Modelling Passenger Weights on a Lift An engineer is analyzing the capacity of a lift by examining the likelihood of exceeding a maximum weight limit when it is used by eight people versus nine people. To do this, the engineer is utilizing the concept of probability distributions to assess the risk associated with the total weight of passengers. Specifically, the engineer assumes that the total weight of eight randomly chosen people follows a normal distribution with a mean of 560 kg and a standard deviation of 57 kg. For nine people, the assumed normal distribution has a mean of 630 kg and a standard deviation of 61 kg. These distributions help in calculating the probabilities of the total weight surpassing a specified threshold, such as 650 kg. The engineer's analysis involves several calculations, including determining the probability that the total weight exceeds 650 kg for both eight and nine people, as well as identifying the central 80% interval for the total weight distribution in different scenarios. This comprehensive approach allows the engineer to make informed decisions about lift capacity and safety standards.