A type of elevator has a maximum weight capacity Y1, which is Normallydistributed with mean 2300 kg and standard deviation 140 kg. For a certain building equipped with this type of elevator, the elevator’s load Y2, is Normally distributed with mean 1600 kg and standard deviation 180 kg. For any given time that the elevator is in use, find the probability that the elevator will be overloaded. Assume Y1 and Y2 are independent. Hint: Your first step should be to translate this question into a question about a linear combination of Y1 and Y2.
A type of elevator has a maximum weight capacity Y1, which is Normallydistributed with
Given,
A type of elevator has a maximum weight capacity Y1, which is Normally distributed with mean 2300 kg and standard deviation 140 kg. For a certain building equipped with this type of elevator, the elevator’s load Y2, is Normally distributed with mean 1600 kg and standard deviation 180 kg.
Let Y=Y1-Y2, Y is normally distributed since Y1 and Y2 are normally distributed.
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