Question

question 12 (1 point)

solve the problem.

explain why the following is or is not a valid probability distribution for the discrete random variable \\(x\\).

\\(\

$$\begin{array}{|c|c|c|c|c|c|} \\hline x & 10 & 20 & 30 & 40 & 50 \\\\ \\hline p(x) & .3 & .2 & .2 & .2 & .2 \\\\ \\hline \\end{array}$$

\\)

Explanation:

Check individual probability bounds

Using the Probability Axioms knowledge point

$$
LATEXBLOCK0
$$

Sum the probabilities

Using the Probability Axioms knowledge point

$$
LATEXBLOCK1
$$

Evaluate validity

Using the Probability Axioms knowledge point

$$
LATEXBLOCK2
$$

Answer:

This is not a valid probability distribution because the sum of the probabilities is \(1.1\), which does not equal \(1\).