Question

Please help me solve the following problem. please write neatly.

Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard where PCA) - 0.55, PCB) = 0.45, and PCA n B) -0.20. Calculate and interpret each of the following probabilities (a Venn diagram might help). (Round your answers to four decimal places.) (a) P(BIA) (b) P(8' ) (c) MAIO) (d) PAT) (e) Given that the selected individuales at least one card, what is the probability that he or she has a Via Card

Answer 1

PCA)= 0.55 PIB) = 0.45 PCDNB) = 0.20 P (B) = 0.55 PLA) = 0.45 PLAUB) = PA) + P (B) -P (AMB) = 0.55 +0.45-0.2 PLAUB) = 0.8 a) PCB/A)= P(BOA) = 0.2 - 0.3636 PLA) 0.55 b) P (BA) = P(BNA) = P(A)- P(ANB) Р (А) PCA) A s 0.55-0.2 -0.63636 0.55 c) P(A/B2 = PLANB2 = 0.2 2 0.4444 PLB) 0-45 d) P(A/B) = P (ANB) - PLB) - PLANB). PC3) PIBO 0.25 0.45 -0.5555!

PAGENG: DATE: 1 e selected Card, Condidate has at least one SCARAB) PCA/AUB) PLANLAUB) PLAUB) pecun) 30.5- 0.6875