STAB22H3 Lecture Notes - Lecture 16: Random Variable, Normal Distribution, Fahrenheit
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Random var"s - var"s that are random. Ex. tossing coin and seeing how many heads you get. Ex. rolling a red die and counting how many spots you get. List of val"s, and probability of each one = probability model. Just like how in data we had rescaling (multiplying) and shifting (add/subtract) of data val"s, we also have similar thing done with random var"s. => same type of q"s are asked about random var"s. Mean changes by the amt of addition/subtraction. Mean and sd both change; multiply them by constant. Do get 2y, take all the val"s of y and multiply them by 2, and leave. Mean = 8, sd = 0. 9, which is double of y. Take all possible val"s of y, and then you add 3 to them. Mean = 7, sd = 0. 45 (stays the same) Took original y and added 3 onto it. The mean went up from 4 to 7, but sd did.