Respuesta :
Answer:
The probability that exactly one of the selected adults says that he or she was too young to get tattoos is 0.4096.
Step-by-step explanation:
Let X denote the number of adults who says that he or she was too young to get tattoos.
The probability of selecting an adults who says that he or she was too young to get tattoos is, p = 0.20.
Five adults who regret getting tattoos are randomly selected.
The events of any of these five adults regretting getting tattoos is independent of each other.
The random variable X follow a Binomial distribution with parameters n = 5 and p = 0.20.
Compute the probability that exactly one of the selected adults says that he or she was too young to get tattoos as follows:
[tex]P(X=x)={5\choose x}(0.20)^{x}(1-0.20)^{5-x}\\\\P(X=1)={5\choose 1}(0.20)^{1}(0.80)^{5-1}\\\\[/tex]
[tex]=5\times 0.20\times 0.4096\\\\=0.4096[/tex]
Thus, the probability that exactly one of the selected adults says that he or she was too young to get tattoos is 0.4096.
