It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that exactly three of five chosen calculators are defective?
A) 0.00729
B) 0.0081
C) 0.081
D) 0.03

Question

Quizplus · Accepted Answer

The probability of choosing exactly three defective calculators out of five can be calculated using the binomial probability formula:

P(X=3) = (5 choose 3) * 0.1^3 * (1-0.1)^2

where (5 choose 3) = 5!/(3!2!) = 10

Plugging in the values:

P(X=3) = 10 * 0.1^3 * 0.9^2 = 0.0081

Therefore, the answer is B.

It Is Known That 10% of the Calculators Shipped from a Particular