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The Probability Distribution for X Is as Follows x1012p(x)0.10.250.550.1\begin{array} { l | r r r r } x & - 1 & 0 & 1 & 2 \\\hline p ( x ) & 0.1 & 0.25 & 0.55 & 0.1\end{array}

question 15

Short Answer

The probability distribution for X is as follows: x1012p(x)0.10.250.550.1\begin{array} { l | r r r r } x & - 1 & 0 & 1 & 2 \\\hline p ( x ) & 0.1 & 0.25 & 0.55 & 0.1\end{array} a. Find E[5X + 1].
b. Find V[5X + 1].


Definitions:

Negative Feedback

A regulatory mechanism in which a stimulus causes an opposite output in order to maintain an ideal level of whatever is being regulated.

Type-II Survivorship

A survivorship curve in which individuals are equally likely to die at any age, representing a relatively constant mortality rate throughout the organism's life.

Exponential Growth

Growth that occurs at a rate that becomes ever more rapid in proportion to the growing total number or size.

J Shape

Often refers to a type of curve, graph, or object shape that resembles the letter "J"; specific context can greatly influence its meaning.

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