SOLUTION: Survey data indicate that 59% of customers at MegaHit video rental stores subscribe to premium movie channels through their cable television provider. The data also indicate that 3

Algebra ->  Probability-and-statistics -> SOLUTION: Survey data indicate that 59% of customers at MegaHit video rental stores subscribe to premium movie channels through their cable television provider. The data also indicate that 3      Log On


   

Question 179944: Survey data indicate that 59% of customers at MegaHit video rental stores subscribe to premium movie channels through their cable television provider. The data also indicate that 39% of MegaHit customers own a DVD player, while 63% of MegaHit customers subscribe to premium movie channels or own a DVD player (or both). What is the probability that a randomly selected MegaHit customer both owns a DVD player and subscribes to premium movie channels?
Answer by kev82(151) About Me  (Show Source):
You can put this solution on YOUR website!
P(subscribe) = 0.59
P(dvd) = 0.39
P(subscribe union dvd) = 0.63
P(subscribe union dvd) = P(subscribe) + P(dvd) - P(subscribe intersect dvd)
0.63 = 0.59 + 0.39 - P(subscribe intersect dvd)
P(subscribe intersect dvd) = 0.35