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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

The Random Variable X Has the Following Probability Distribution xfx)0.251.202.153.304.10\begin{array} { c c } x &fx) \\0 & .25 \\1 & .20 \\2 & .15 \\3 & .30 \\4 & .10\end{array}x01234​fx).25.20.15.30.10​

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