The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Plisk the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is 0.526 . (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.)

Let's dive into some interesting insights about probabilities! In many countries, trends in graduation rates can reveal deeper societal issues, such as gender disparities in specific fields. For instance, if more males graduate with business degrees, it might indicate cultural norms about gender roles in professional settings. Historical data suggests various shifts in gender representation in higher education programs, making this a fascinating area of study. When calculating probabilities like the one you've encountered, it's crucial to avoid common pitfalls. One frequent mistake is forgetting to use the correct totals for the given conditions. Always ensure you know whether you’re considering the entire population of students or just those who fit into a specific category (like males or females) to avoid skewed results. Double-checking your formulae and understanding the context behind the numbers can save you from inaccuracies!