Question

1. a factory produces 500 items, and 10 are defective. what is the empirical probability of selecting a defective item?

a. 0.05
b. 0.02
c. 0.1
d. 0.2

Explanation:

Step1: Recall the formula for empirical probability

Empirical probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)
Here, the number of favorable outcomes (defective items) \(n = 10\), and the total number of outcomes (total items) \(N=500\)

Step2: Calculate the probability

\(P=\frac{10}{500}\)
Simplify \(\frac{10}{500}=\frac{1}{50}= 0.02\)

Answer:

B. \(0.02\)