Solution-Moment Generating Function Problem

Moment Generating Function Problem

Assignment Help Applied Statistics

Reference no: EM132386572

Assignment - This problem is for a moment generating function, so it may be given to anyone with Probability theory, excellent Statistics, or Econometric skills, in that order. The problem should show all computations and cost should be reasonable.

Problem - Consider the data summarized in the following table. The variables are cigarette consumption per capita in 1930 and the death rate (per capita) from lung cancer in 1950. The cancer rates are shown for a later time period because it takes time for lung cancer to develop and be diagnosed.

Observation #	Country	Cigarettes consumed per capita in 1930 (X)	Lung cancer deaths per million people in 1950 (Y)
1	Great Britain	1145	465
2	Canada	510	150
3	Denmark	380	165
4	Switzerland	530	250
5	Finland	1115	350

Calculate the following (You need to explain and provide the formula used in each one of the cases below):

a) The first moment of X and Y.

b) The standard deviations of X and Y.

c) The covariance of X and Y.

d) The correlation coefficient, called ρ, between X and Y.

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This task provides a clear working example on air pollution and possible steps that we need to take to reduce air pollution. One of the major cause for air pollution is smoking. Apart from smoking, industrial smoke emission also turns out to be one of dangerous substances which pollutes air and it leads to various kinds of health issues

Reference no: EM132386572

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Moment Generating Function Problem

Reference no: EM132386572

Reference no: EM132386572

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