Question

eight of the 100 digital video recorders (dvrs) in an inventory are known to be defective. what is the probability you randomly select a dvr that is not defective?
the probability is
(type an integer or a decimal. do not round.)

Explanation:

Step1: Find the number of non - defective DVRs

The total number of DVRs is \(n = 100\). The number of defective DVRs is \(d=8\). So the number of non - defective DVRs is \(n - d=100 - 8 = 92\).

Step2: Use the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (selecting a non - defective DVR) is \(92\) and the total number of outcomes is \(100\). So \(P=\frac{92}{100}=0.92\).

Answer:

\(0.92\)