Question

Let PA) = 0.40, AB) = 0.40, and AAN B) = 0.18. a. Are A and B independent events? O Yes because AAB) = PA). Yes because AAN B) + 0. O No because PAB) AA). O No because AAN B) 0. b. Are A and B mutually exclusive events? Yes because RAIB) = AA). Yes because AAN B) 0. O No because PAB) # AA).

Answer 1

oru solution g Here PlA=ou, P(A)= ou, P (B)=0.4, PLANB)=0-18 here P(A/B)= P(Ang)_ 0.18 -0.45 PIB here P(A/B & P(A) so, A&B are not independent No, because PlA/B) # P(A) b) mutually exclusive means that the events can't happen at the same time. then PLANB =0, But here P(ANB) = 0.18 so, A&B are not mutually exclusive events. No, because P(ARB) to ♡ Plneither A enor B) = P(AUB) = (ARB) = 1-P(ARB) -1- 0.18=0.82