Use the appropriate probability model (Geometric).
-A specific automotive part that a service station stocks in its inventory has an 8%
Chance of being defective. Suppose many cars come into the service station needing this
Part each week. What is the probability that the fourth part retrieved from stock is the
First defective?
A) 0.0064
B) 0.08
C) 0.0378
D) 0.0623
E) 0.3244

Question

Quizplus · Accepted Answer

The probability that the fourth part is the first defective one is given by the geometric distribution: P(X=k) = (1-p)^(k-1) * p, where p = 0.08 and k = 4. Thus, P(X=4) = (0.92)^3 * 0.08 = 0.0623.

Use the Appropriate Probability Model (Geometric)