Question

A Statistics class has an enrollment of 300. Out of these, 95 are taking the Actuarial Statistics major, 120 are Data Science majors, 80 are Financial Math majors and 5 are Undecided. Find the probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major

Answer 1

Answer:

0.2833 = 28.33% probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

There are 300 students.

80 + 5 = 85 are not Actuarial statistics or data science majors. So

$\frac{85}{300} = 0.2833$

0.2833 = 28.33% probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major