Answer :
If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between x and y is a strong negative relationship.
What is a simple random sample?
A simple random sample can be defined as a subset of items that are selected from a statistical population or larger data set, and each member of the subset has an equal or the same probability of being selected.
This ultimately implies that, each member of the subset are selected randomly and by chance, and as such a simple random sample is an unbiased representation of a statistical population.
By calculating the covariance using the following expression, we have:
Cov(X, Y) = E(XY) - E(X)E(Y).
E(X) = 5, E(Y) = 6 and E(XY) = 21.
In conclusion, we can infer and logically deduce that the relationship between x and y is a strong negative relationship.
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Complete Question:
If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between X and Y is a:
-strong positive relationship
-strong negative relationship
-weak positive relationship
-weak negative relationship