Answer to Question #132170 in Statistics and Probability for Reneilwe

Question

Consider the sample s=(1, 2, 3, 4, 5) and let A be a set of numbers less or equal to 4 and B be a set of numbers greater than 4 . Both A and B are subsets of S . Which one of the following statements is incorrect ?

(1) A = ( 1, 2, 3, 4) and B = (5)

(2) P = ( A)= 4/5

(3) P(B) = 1/5

(4) Events A and B are mutually exclusive

(5 ) Events A and B are independent .

Answer 1

(5 ) Events A and B are independent is INCORRECT.

Since there is no intersection between event A and event B they both are mutually exclusive events.

Hence no mutually exclusive events can be independent.