The Random Variable X Has the Following Probability Distribution

question 67

Essay

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.

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Definitions:

Stimulus

Any object, event, or factor that elicits or is capable of eliciting a response from a sensory system or an organism.

Controlling

Exercising authority or influence over a situation or individual to dictate or direct outcomes.

Negative Reinforcement

A process in behavior modification where the removal of an unfavorable outcome or stimulus strengthens the likelihood of a desired behavior.

Buzzer

An electronic device that produces a loud or vibrating sound as a signal or alarm.