Mathematics, 22.04.2020 00:30, ayoismeisjjjjuan

There are 10 students in class and the number of siblings in their families are given by {1,1,1,1,2,3,3,4,4,4}. Consider the experiment of randomly choosing one of these students and letting Y denote the number of siblings in this chosen student’s family. (a) Find the probability mass function (pmf) of Y and plot this pmf. (b) Find Pr{Y > 2}. (c) Find the mean, µ, of Y . (d) Find the standard deviation, σ, of Y . (e) Find the exact value of P(µ−2σ ≤ Y ≤ µ + 2σ}.

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There are 10 students in class and the number of siblings in their families are given by {1,1,1,1,2,...