does the table show the values of a valid probability function on the outcomes in a sample space? probability 0.004 0.261 0.048 0.218 0.057 0.032 0.177 0.145 0.13 yes no

Question

Accepted Answer

# Explanation:
## Step1: Check non - negativity
All values $0.004,0.261,0.048,0.218,0.057,0.032,0.177,0.145,0.13$ are non - negative.
## Step2: Sum the probabilities
$$
\begin{align*}
&0.004 + 0.261+0.048 + 0.218+0.057+0.032+0.177+0.145+0.13\
=&(0.004+0.261)+(0.048 + 0.218)+(0.057+0.032)+(0.177+0.145)+0.13\
=&0.265+0.266+0.089+0.322 + 0.13\
=&(0.265+0.266)+(0.089+0.322)+0.13\
=&0.531+0.411+0.13\
=&0.531+(0.411 + 0.13)\
=&0.531+0.541\
=&1.072
\end{align*}
$$

Since the sum of the probabilities $1.072
eq1$, the table does not show the values of a valid probability function.

# Answer:
no

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QUESTION IMAGE

Question

Explanation:

Step1: Check non - negativity

Step2: Sum the probabilities

Answer: