Following Alfred Nobel's Will,there Are Five Nobel Prizes Awarded Each

question 54

Essay

Following Alfred Nobel's will,there are five Nobel Prizes awarded each year.These are for outstanding achievements in Chemistry,Physics,Physiology or Medicine,Literature,and Peace.In 1968,the Bank of Sweden added a prize in Economic Sciences in memory of Alfred Nobel.You think of the data as describing a population,rather than a sample from which you want to infer behavior of a larger population.The accompanying table lists the joint probability distribution between recipients in economics and the other five prizes,and the citizenship of the recipients,based on the 1969-2001 period.
Joint Distribution of Nobel Prize Winners in Economics and Non-Economics Disciplines,and Citizenship,1969-2001
(a)Compute E(Y)and interpret the resulting number.
(b)Calculate and interpret E(Y =1)and E(Y =0).
(c)A randomly selected Nobel Prize winner reports that he is a non-U.S.citizen.What is the probability that this genius has won the Economics Nobel Prize? A Nobel Prize in the other five disciplines?
(d)Show what the joint distribution would look like if the two categories were independent.

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Definitions:

Back-arc Basin

A geological feature located behind a volcanic arc, formed by the stretching and sinking of an oceanic plate.

Trench

Long, narrow, and deep depressions on the ocean floor, often occurring at the boundaries between tectonic plates.

Philippine Sea

A section of the western Pacific Ocean east of the Philippines, notable for its depth and marine biodiversity.

Island Arc

A chain of volcanic islands that form along a convergent tectonic plate boundary, typically where an oceanic plate subducts beneath another oceanic plate.