8 of the 50 digital video recorders are defective.
The probability to be defected if given by:
P(defected) = defected DVRs / Total of DVRs
Replacing:
P(defected) = 8/50
Now, the probability that the DVR is not defective is equal to:
P(not defective)= 1 -P(defected)
Replacing :
P(not defective)= 1-8/50
P(not defective)=0.84
Hence, the probability that randomly selected an item that is not defective is given by 0.84.