A community for students.
Here's the question you clicked on:
 0 viewing

This Question is Open

aziamarie
 7 months ago
Best ResponseYou've already chosen the best response.0The probability of Samantha scoring an A on a geology test (event A) is 0.46, and the probability of Judith scoring an A on the same test (event B) is 0.54. The probability of both Samantha and Judith scoring an A is 0.2484. Given this information, which statement is true?

aziamarie
 7 months ago
Best ResponseYou've already chosen the best response.0Events A and B are independent because P(A and B) = P(A) × P(B). Events Events A and B are dependent because P(A and B) = P(A) × P(B). A and B are independent because P(BA) ≠ P(B). Events A and B are dependent because P(AB) ≠ P(B). Done

MrNood
 7 months ago
Best ResponseYou've already chosen the best response.1It tells you P(A AND B) First calculate whether P(A AND B) = P(A) x P(B)

ybarrap
 7 months ago
Best ResponseYou've already chosen the best response.0You can easily verify $$ P(A\cap B)=P(A)P(B) $$ But also $$ P(BA)=\cfrac{P(B\cap A)}{P(A)}=\cfrac{0.2484}{0.46}=0.54=P(B)\\ P(AB)=\cfrac{P(B\cap A)}{P(B)}=\cfrac{0.2484}{0.54}=0.46=P(B)\\ $$ Since \(P(BA)=P(B)\) and \(P(AB)=P(A)\), events A and B are \(independent\).

jahij1
 3 months ago
Best ResponseYou've already chosen the best response.0The probability of Samantha scoring an A on a geology test (event A) is 0.46, and the probability of Judith scoring an A on the same test (event B) is 0.54. The probability of both Samantha and Judith scoring an A is 0.2484. Given this information, which statement is true?

jahij1
 3 months ago
Best ResponseYou've already chosen the best response.0If A and B are independent events, which equation must be true?

ybarrap
 3 months ago
Best ResponseYou've already chosen the best response.0If A and B are independent then P(A and B) = P(A) times P(B)=0.2484. This is the only thing you need to check. If P(A) times P(B) is not equal to 0.2484, then A and B are not independent. In addition (this is just comes from the 1st part), if A and B are independent, then given A, the probability of B is just the Probability of B. In otherwords, it doesn't matter that you were given A. Similarly, if A and B are independent, then given B, the probability of A is just the Probability of A. In otherwords, it doesn't matter that you were given B.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.