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Mathematics

1 answer:

trapecia [35]3 years ago

8 0

It’s the third one, if not I’m sorry

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What is the dependent and independent variable ?

oee [108]

P is the independent variable and b is the dependent variable

8 0

4 years ago

A publication released the results of a study of the evolution of a certain mineral in the Earth's crust. Researchers estimate

san4es73 [151]

Answer:

a) $E(A)=\frac{1+6}{2}=3.5 ppm$

b) $P(2.875$

c) $P(X$

Step-by-step explanation:

If we work with the limits defined from 5 to 10 then part b and c from this question not makes sense. If we work with the limits 1 and 6 all the parts for the question makes sense because if we work with 5 and 10 the only thing that we can find is the expected value $E(A) = \frac{5+10}{2}= 7.5$

Assuming the following correct question : "A publication released the results of a study of the evolution of a certain mineral in the Earth's crust. Researchers estimate that the trace amount of this mineral x in reservoirs follows a uniform distribution ranging between 1 and 6 parts per million"

Solution to the problem

Let A the random variable that represent " amount of the mineral x ". And we know that the distribution of A is given by:

$A\sim Uniform(1 ,6)$

Part a

For this uniform distribution the expected value is given by $E(X) =\frac{a+b}{2}$ where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got: