Assume That a Probability Distribution Is Described by the Discrete $$\mu = \frac { n + 1 } { 2 } \text { and } \sigma = \sqrt { \frac { n ^ { 2 } - 1 } { 12 } }$$

question 154

Essay

Assume that a probability distribution is described by the discrete random variable x that can assume the values 1, 2, . . . , n; and those values are equally likely. This probability has mean and standard deviation described as follows: $$\mu = \frac { n + 1 } { 2 } \text { and } \sigma = \sqrt { \frac { n ^ { 2 } - 1 } { 12 } }$$
$\text { Show that the formulas hold for the case of }n=7$

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Definitions:

Altruism

The selfless concern for the well-being of others, often resulting in acts of kindness without expectation of reward.

Triangular Model of Love

A theory by psychologist Robert Sternberg that love consists of three components: intimacy, passion, and commitment.

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