Question

video lesson 5.2 example 6 – using a table to find conditional probabilities.
a quality control inspector checks for defective parts. the table shows
the results of the inspector’s work.

1. find the probability that a defective part \passes.\

	pass	fail
non - defective	208	9

Explanation:

Step1: Identify total defective parts

Total defective parts = Defective (Pass) + Defective (Fail) = \( 5 + 24 = 29 \)

Step2: Calculate conditional probability

Probability (Defective part passes) = \( \frac{\text{Defective and Pass}}{\text{Total Defective}} = \frac{5}{29} \)

Answer:

\(\frac{5}{29}\)