Answer to Question #218685 in Statistics and Probability for Perez

Question #218685

Two events  and  associated with a sample space of an experiment are such that       ,  and  . Determine whether   and  are independent.


1
Expert's answer
2021-07-20T04:20:23-0400
P(E1E2)=P(E1)+P(E2)P(E1E2)P(E_1\cup E_2)=P(E_1)+P(E_2)-P(E_1\cap E_2)

P(E1E2)=P(E1)+P(E2)P(E1E2)P(E_1\cap E_2)=P(E_1)+P(E_2)-P(E_1\cup E_2)

=0.27+0.400.58=0.09=0.27+0.40-0.58=0.09

P(E1)P(E2)=0.27(0.40)=0.108P(E_1)P(E_2)=0.27(0.40)=0.108

0.09=P(E1E2)\not=0.09=P(E_1\cap E_2)



Since P(E1E2)P(E1)P(E2),P(E_1\cap E_2)\not=P(E_1)P(E_2), then E1E_1 and E2E_2 are not independent.



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment