Problem

Fourteen of the 100 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is defective?
The probability is
(Type an integer or a decimal. Do not round.)

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The probability that a randomly selected item is defective is \(\boxed{0.14}\).

Steps

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 \(\boxed{0.14}\).

link_gpt