Question

the accompanying table shows the numbers of male and female students in a particular country who received bachelors degrees in business in a recent year. complete parts (a) and (b) below.
click 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 .
(round to three decimal places as needed.)

Explanation:

Identify the given values and target

Using the Conditional Probability Notation knowledge point
We need to find the conditional probability \(P(\text{Male} \mid \text{Business degree})\).
From the provided contingency table:

• Number of male students with a business degree: \(189,715\)
• Total number of students with a business degree: \(364,561\)

Calculate the conditional probability

Using the Conditional Probability Notation knowledge point

$$ P(\text{Male} \mid \text{Business degree}) = \frac{\text{Number of Male Business Graduates}}{\text{Total Business Graduates}} $$

$$ P(\text{Male} \mid \text{Business degree}) = \frac{189,715}{364,561} \approx 0.520393 $$

Round to three decimal places

Using the Conditional Probability Notation knowledge point
Rounding \(0.520393\) to three decimal places gives \(0.520\).

Answer:

The probability that a randomly selected student is male, given that the student received a business degree, is <blank>0.520</blank>.