Retries
the Following Table Contains the Probability Distribution for X

question 205

Multiple Choice

Retries
The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media.
$$\begin{array} { | c | c c c c | } \hline \boldsymbol { x } & 0 & 1 & 2 & 3 \\\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.35 & 0.35 & 0.25 & 0.05 \\\hline\end{array}$$
-If X and Y are any random variables with COV(X,Y) = 0.25, $\sigma _ { x } ^ { 2 } = 0.36$ ,and $\sigma _ { y } ^ { 2 } = 0.49$
,then the coefficient of correlation $\rho$ is

• A) 1.417
• B) 1.190
• C) 0.595
• D) 0.354

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Definitions:

Ambrosia

In Greek mythology, ambrosia is considered the food or drink of the gods, often depicted as conferring longevity or immortality upon whoever consumed it.

Fixed Coefficients

A term used in production and economics to describe technologies where inputs are used in strict fixed proportions to produce an output.

Production Possibility Set

A graph or curve depicting all maximum output possibilities for two or more goods, given a set of inputs.

Marginal Rate of Substitution

The rate at which a consumer is willing to give up one good in exchange for another, while keeping the overall satisfaction or utility constant.