The Random Variable X Has the Following Probability Distribution $$\begin{array} { c c } x &fx) \\0 & .25 \\1 & .20 \\2 & .15 \\3 & .30 \\4 & .10\end{array}$$

question 58

Short Answer

The random variable x has the following probability distribution:
$$\begin{array} { c c } x &fx) \\0 & .25 \\1 & .20 \\2 & .15 \\3 & .30 \\4 & .10\end{array}$$
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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Stress

A physical or psychological response to internal or external pressures, challenging the individual's ability to cope.

Less Stress

A condition of experiencing lower levels of strain and tension, which contributes to better mental and physical health.

Effective Options

Viable and efficient choices or strategies that can be implemented to achieve desired outcomes.

Immunosuppression

A reduction in the efficacy of the immune system, either naturally, as in some diseases, or induced, as by certain medications.