[All Steps] A type of elevator has a maximum weight capacity Y_1, which is normally distributed with mean 5000 pounds and standard deviation 300 pounds. For
Question: A type of elevator has a maximum weight capacity \(Y_{1}\), which is normally distributed with mean 5000 pounds and standard deviation 300 pounds. For a certain building equipped with this type the elevator's load, \(Y_{2}\), is a normally distributed random variable with mean 4000 of elevator, pounds and standard deviation 400 pounds. For any given time that the elevator is in use, find the probability that it will be overloaded, assuming that \(Y_{1}\) and \(Y_{2}\) are independent.
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