Question

the distribution of B.A degrees conferred by a local college is listed below , by major.

point QUESTION 66 PA or B)=P(A)+PB). (True, False, or Sometimes) (Check your spelling!)

Answer 1

& Solution! - If A and B are any two evests from sample spaces thes PAUB) PLAUBC - P(AUB) - - [P(A) + P(B) -P(Ang)] 1-P(A) -PUB) + P(ANB) - B in L.H-S. Now P() + P= P(A) + P(BS) = 1-PIA) + 1-P (B) E 2-PIA) -P(B) Hence, P(AUB) + PA+PB) statenest is false B S R.A.S. Hesce gives Now, if A and B are mutually exclusive the P(AUB) =P (AUB) = -PCA) -PB) P(+ P(B)=1-P(Ast_p(B) - 2 - P(A)-P(B) Hence gives statemest is false. B Now, if A and Bore mutually exhaustive the PÃOB) = 1-P (AUB). in 1 - 0 A B Now P(+ P(B) = P(B) + P(A) P. (AUB) = P(+P (B), the statemet is fake