Question

homework
question 3, 3.2.7
part 1 of 2
points: 0 of 1
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:

Step1: Use conditional probability formula

The formula for conditional probability is \(P(A|B)=\frac{P(A\cap B)}{P(B)}\). In this case, event \(A\) is "student is male" and event \(B\) is "student received a business degree". So \(P(\text{male}|\text{business degree})=\frac{\text{Number of male business - degree holders}}{\text{Total number of business - degree holders}}\)

Step2: Substitute the values from the table

From the table, the number of male business - degree holders is \(192480\) and the total number of business - degree holders is \(363761\)

So \(P(\text{male}|\text{business degree})=\frac{192480}{363761}\approx0.529\)

Answer:

\(0.529\)