Question

eight of the 50 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.)

Explanation:

Step1: Determine the number of favorable outcomes

The number of defective DVRs is \(8\).

Step2: Determine the total number of outcomes

The total number of DVRs is \(50\).

Step3: Use the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P(\text{defective})=\frac{8}{50}\).

Step4: Simplify the fraction

\(\frac{8}{50}=\frac{4}{25}= 0.16\)

Answer:

\(0.16\)