Question

3. One satellite launching is scheduled for Kennedy Space Center, and another satellite is scheduled to launch from Cape Canaveral Air Force Station. Let U denote the event that the Kennedy launch goes off on schedule, and let V represent the event that the Cape Canaveral launch goes off on schedule. If U and V are independent events with P(U) > P(V), PUUV) = .626, and P(U OV) = .144. Determine the values of P(U) and P(V).

Answer 1

3) U & V ose independent → Promv)=PCUPCV) → PCU) P(v) = 0.144 [-(1)] PUOV) = P(0) +PCV) -PCO ov) [Formada ] PC07+P(v) = 0.626+0.144 = 0.77 + P(0) + 0.144 +0677 [Fromli)] P(0) > (PC033 - 071 Plu) + 0.144 = 0.+ (Plus) – 045 PC) - 0-32 P(0)t 0144= 0 (P(0) - 0.45) (P() -0.32) = 0 > PCO) = 0.32 oz 0:45 PCv)= Dol99 = 0.45 or 0.32 . PCU) [-: PCU) > PCV)] → [PCU)-0.45, P(1) - 0-32]