40 Uranium in the Earths crust. American Mineralogist (October 2009) did a study of the evolution of
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40 Uranium in the Earth’s crust. American Mineralogist
(October 2009) did a study of the evolution of uranium minerals in the Earth’s crust. Researchers estimate that the trace amount of uranium x in reservoirs follows a uniform distribution ranging between 1 and 3 parts per million. In a random sample of n = 60 reservoirs, let x represent the sample mean amount of uranium.
a. Find E( x ) and interpret its value.
b. Find Var( x ).
c. Describe the shape of the sampling distribution of x .
d. Find the probability that x is between 1.5 ppm and 2.5 ppm.
e. Find the probability that x exceeds 2.2 ppm.
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