Question

use the table to find the probability.\\( p(\text{the degree is not an associates, given that the recipient is female}) \\)\\( \text{the probability that the degree is not an associates given that the recipient is female is} \\) (round to two decimal places as needed)\\( \text{projected number of degree recipients in 2010 (thousands)} \\)\\( \

$$\begin{array}{|c|c|c|} \\hline \\text{degree} & \\text{male} & \\text{female} \\\\ \\hline \\text{associates} & 229 & 338 \\\\ \\hline \\text{bachelors} & 456 & 884 \\\\ \\hline \\end{array}$$

\\)

Explanation:

Step1: Find total female recipients

Add female Associate's and Bachelor's counts:
$338 + 884 = 1222$

Step2: Find non-Associate's female count

This is female Bachelor's recipients:
$884$

Step3: Calculate conditional probability

Divide non-Associate's by total female:
$\frac{884}{1222}$

Step4: Compute and round result

$\frac{884}{1222} \approx 0.72$

Answer:

0.72