8
QuizMultiple Choice

Binomial Probabilities

Question 8 • NC-Math 4

At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is taken. What is the probability that 3 of those chips are defective?

Answer
A
0.08
B
0.14
C
0.24
D
0.78

Explanation

Use the binomial probability formula for exactly 3 defects: C(20,3)(0.08)^3(0.92)^17. The combination term counts the ways to choose which 3 chips are defective, while the powers represent 3 defective and 17 nondefective chips. This gives a probability of about 0.14, so the correct choice is 0.14.

AI-written and checked against the verified answer.

Previous
Next