HW_15 - shape with the parameters that can be estimated...

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ECO220Y: Homework, Lectures 15 Readings: Sections 8.1 Exercises: 8.4, 8.6, 8.9 – 8.14 Problems: (1) What is the mean and variance of Z if Z = X 1 + X 2 and X 1 is binomially distributed with p = 0.1 and n = 20, X 2 is binomially distributed with p = 0.9 and n = 20, and X 1 and X 2 are independent? Show your work. (2) To the nearest integer, find the approximate standard deviation of the following histogram. (Hint: Do not try to use the Empirical Rule or Chebycheff’s Theorem. Instead use what you know about a distribution of this
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Unformatted text preview: shape with the parameters that can be estimated from the graph.) (3) Using the first three diagrams, figure out the mean, variance and standard deviation for the fourth. .005 .01 .015 .02 .025 Density 20 40 60 80 X .5 1 1.5 density-1-.5 .5 1 mean: 0.00, var:0.17, sd: 0.41 .5 1 1.5 .5 1 1.5 2 mean: 1.00, var:0.17, sd: 0.41 .2 .4 .6 .8 1 2 3 4 mean: 2.00, var:0.67, sd: 0.82 .2 .4 .6 .8-2-1 1 2 mean: ?, var:?, sd: ?...
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