Questions: This problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the Army. Army Navy Marine Corps Air Force Total --------------------------------------------------- Male 27 27 4 12 70 Female 11 8 1 5 25 Total 38 35 5 17 95 The probability that a randomly selected single parent in the U.S. military is in the Army is (Type an integer or decimal rounded to the nearest hundredth as needed.)

This problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the Army. Army Navy Marine Corps Air Force Total --------------------------------------------------- Male 27 27 4 12 70 Female 11 8 1 5 25 Total 38 35 5 17 95 The probability that a randomly selected single parent in the U.S. military is in the Army is (Type an integer or decimal rounded to the nearest hundredth as needed.)
Transcript text: This problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the Army. \begin{tabular}{|l|c|c|c|c|c|} \hline & Army & Navy & \begin{tabular}{c} Marine \\ Corps \end{tabular} & \begin{tabular}{c} Air \\ Force \end{tabular} & Total \\ \hline Male & 27 & 27 & 4 & 12 & 70 \\ \hline Female & 11 & 8 & 1 & 5 & 25 \\ \hline Total & 38 & 35 & 5 & 17 & 95 \\ \hline \end{tabular} The probability that a randomly selected single parent in the U.S. military is in the Army is $\square$ (Type an integer or decimal rounded to the nearest hundredth as needed.)
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Solution

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Solution Steps

Step 1: Identify the Values

From the table, we have:

  • Total number of single parents in the Army: \( 38 \)
  • Overall total number of single parents in the military: \( 95 \)
Step 2: Calculate the Probability

The probability \( P \) that a randomly selected single parent in the U.S. military is in the Army can be calculated using the formula:

\[ P(\text{Army}) = \frac{\text{Number of Army Parents}}{\text{Total Number of Parents}} = \frac{38}{95} \]

Step 3: Simplify the Probability

Calculating the fraction gives:

\[ P(\text{Army}) = 0.4 \]

Step 4: Round the Probability

Rounding \( 0.4 \) to the nearest hundredth results in:

\[ P(\text{Army}) = 0.40 \]

Final Answer

The probability that a randomly selected single parent in the U.S. military is in the Army is \\(\boxed{0.40}\\).

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