Answer:
Correct option: A. P=0.057
Step-by-step explanation:
Binomial Distribution
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is
[tex]\displaystyle P(k,n,p)=\binom{n}{k}p^kq^{n-k}[/tex]
Where [tex]q = 1-p[/tex]
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is
[tex]\displaystyle P(3,10,0.1)=\binom{10}{3}0.1^30.9^{10-3}[/tex]
[tex]\boxed{P=0.057}[/tex]
