Expected Number of Students Passing

Hard Data Analysis Probability

In a class of students, 60% of the students are male and 40% are female. Each male student has a 70% probability of passing a particular exam, while each female student has a 90% probability of passing the same exam.

Suppose there are 30 students in the class. Let X be the expected number of male students who pass the exam and Y be the expected number of female students who pass the exam. What is the relationship between X and Y?

Quantity A is greater than Quantity B.

Quantity A is less than Quantity B.

Quantity A is equal to Quantity B.

The relationship cannot be determined from the information given.

Hint

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