It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that no more than one in a random sample of four calculators is defective?
A) 0.2916
B) 0.3439
C) 0.6561
D) 0.9477

Question

Quizplus · Accepted Answer

The probability that no more than one calculator is defective in a sample of four can be calculated using the binomial probability formula. The probability of getting exactly 0 defective calculators is $C(4,0) \times (0.9)^4 \times (0.1)^0$, and the probability of getting exactly 1 defective calculator is $C(4,1) \times (0.9)^3 \times (0.1)^1$. Adding these probabilities gives the total probability of no more than one defective calculator, which is $0.9477$.

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