p = 19% = 0.19
n = 5
x = 0
Binomial probability:
P(X=x)=C(n,x)⋅px⋅(1−p)n−xP(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{n-x}P(X=x)=C(n,x)⋅px⋅(1−p)n−x
P(X=0)=5!0!5!⋅0.190⋅0.815=0.35P(X=0)=\frac{5!}{0!5!}\cdot0.19^0\cdot0.81^5=0.35P(X=0)=0!5!5!⋅0.190⋅0.815=0.35
Answer: the probability that none of the selected adults say that they were too young to get tattoos is 0.35.
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