Step 1 :Given that there are 14 defective DVRs out of a total of 100 DVRs.
Step 2 :The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes.
Step 3 :In this case, the event is selecting a defective DVR, and there are 14 ways this can occur.
Step 4 :The total number of outcomes is 100, since there are 100 DVRs in total.
Step 5 :So, the probability is \(\frac{14}{100} = 0.14\).
Step 6 :Final Answer: The probability that a randomly selected item is defective is \(\boxed{0.14}\).