Question

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does \\( \sum p(x)=1 \\) ?
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. yes, \\( \sum p(x)=1 \\).
b. no, \\( \sum p(x)= \\) (type an integer or a decimal. do not round.)

Explanation:

Step1: Sum up all the probabilities

$$\begin{align*} \sum P(x)&=0.0282 + 0.1470+0.3060 + 0.3185+0.1657+0.0346\\ \end{align*}$$

Step2: Calculate the sum

$$\begin{align*} \sum P(x)&=(0.0282 + 0.1470)+(0.3060 + 0.3185)+(0.1657+0.0346)\\ &=0.1752+0.6245 + 0.2003\\ &=0.1752+(0.6245 + 0.2003)\\ &=0.1752 + 0.8248\\ &=1 \end{align*}$$

Answer:

A. Yes, $\sum P(x)=1$.