Question

the distribution of the number of times students eat out per week is as follows.

find the probability of eating out 3 times.

\\(p(3) = \quad\\%\\)

round your answer to the nearest whole percent.

Explanation:

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<reasoning>

Sum of probabilities

Using the Probability Distributions knowledge point
\[
\sum P(x) = 100\%
\]

Set up equation

Using the Probability Distributions and Complementary Probability knowledge points
\[
P(0) + P(1) + P(2) + P(3) = 100\%
\]

Substitute known values

Using the Probability Distributions knowledge point
\[
17\% + 40\% + 29\% + P(3) = 100\%
\]

Solve for P(3)

Using the Probability Distributions knowledge point
\[

$$\begin{aligned} 86\% + P(3) &= 100\%\\ P(3) &= 14\% \end{aligned}$$

\]
</reasoning>

<answer>
Find the probability of eating out 3 times.

\(P(3) =\) <blank>14</blank>%
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
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"Mathematics",
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Answer:

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</pre_analysis>

<reasoning>

Sum of probabilities

Using the Probability Distributions knowledge point
\[
\sum P(x) = 100\%
\]

Set up equation

Using the Probability Distributions and Complementary Probability knowledge points
\[
P(0) + P(1) + P(2) + P(3) = 100\%
\]

Substitute known values

Using the Probability Distributions knowledge point
\[
17\% + 40\% + 29\% + P(3) = 100\%
\]

Solve for P(3)

Using the Probability Distributions knowledge point
\[

$$\begin{aligned} 86\% + P(3) &= 100\%\\ P(3) &= 14\% \end{aligned}$$

\]
</reasoning>

<answer>
Find the probability of eating out 3 times.

\(P(3) =\) <blank>14</blank>%
</answer>

<post_analysis>
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"Statistics",
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