Question
You draw values of a random variable that can assume one of three possible values: 1, 2, 3. Imagine you have a sample consisting of
You draw values of a random variable that can assume one of three possible values: 1, 2, 3. Imagine you have a sample consisting of nine draws, in which you observe the following realizations of the random variable: y i = [1, 2, 3, 1, 2, 3, 1, 2, 3].
(a) Create a histogram on your rough sheet. Now tell us, how many bars do you have? and, what is the frequency/height of each bar? [1 pt]
(b) (i) What is the mean of this distribution? You do not need to use a calculator - observe your histogram and recall the mean is the center of the distribution. (ii) Again, no calculator, just visual - what is the probability of drawing y=1? [2 pt]
(c) Looking at the histogram, would you say y is distributed : (a) in a normal/Gaussian way, or (b) in a uniform way?
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