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The Random Variable X Has the Following Probability Distribution

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Essay

The random variable x has the following probability distribution:
The random variable x has the following probability distribution:     a.Is this probability distribution valid? Explain and list the requirements for a valid probability distribution. b.Calculate the expected value of x. c.Calculate the variance of x. d.Calculate the standard deviation of x.
a.Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b.Calculate the expected value of x.
c.Calculate the variance of x.
d.Calculate the standard deviation of x.


Definitions:

Flattop Hill

describes a hill or mountain with a relatively flat top, as opposed to being sharply pointed.

Slope Failure

A general term for the downward movement of rock, soil, and debris on a slope due to gravity, often triggered by saturation, earthquakes, or erosion.

La Conchita

A small community in California known for being susceptible to landslides due to its geographic and geological condition.

Earth Flow

A form of mass wasting that involves the downslope movement of soil and rock material under the influence of gravity.

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