Respuesta :
Answer:
0.0019
Step-by-step explanation:
In this question, we are asked to calculate the probability that out of 13 shipments of DVD from a factory, 3 is defective.
To answer this question, what we use is the Bernoulli trial format.
Firstly, let’s write out some important information that could help us solve the question.
P(D) = 2% = 2/100 = 0.02
P(N) = 1 - P(D) = 0.98
Where P(D) is the probability of being defective and P(N) is the probability of not being defective. Now we write out the Bernoulli approximation:
P(3 defective) = 13C3. * P(D)^3 * P(N)^10
P(3 defective) = 13C3 * (0.02)^3 * (0.98)^10
P(3 defective) = 286 * 0.000008 * 0.82
P(3 defective) = 0.0019
