Math  /  Probability

QuestionA university surveys 50 undergraduates. Given P(AB)=1535P(A \mid B)=\frac{15}{35} and P(BA)=1525P(B \mid A)=\frac{15}{25}, fill in the Venn diagram for events AA, BB, ABA \cap B, and neither.

Studdy Solution
Calculate the number of students not in A or B.
NumberofstudentsnotinAorB=502535+15=5Number\, of\, students\, not\, in\, A\, or\, B =50 -25 -35 +15 =5So, the Venn diagram would be filled as follows-10 students like online classes only (Event A) -20 students are first year students only (Event B) -15 students are both first year students and like online classes (Event A and B) -5 students neither like online classes nor are they first year students (Not A or B)

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord