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Chapter 5: Q. 99. (page 336)

Checking independence Suppose A and B are two events such thatP(A)=0.3andP(B)=0.4, andP(A鈭�B)=0.12. Are events A and B independent? Justify your answer.

Short Answer

Expert verified

Events A and B are independent

Step by step solution

01

Given information

Given,

P(A)=0.3,P(B)=0.4P(A鈭�B)=0.12
02

Calculation

Events Aand Bare independent if

PA鈭�B=P(A)P(B)

Here,

P(A)P(B)=0.3(0.4)=0.12=PA鈭�B

Therefore, Aand Bare independent.

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