Answer:
The probability the event that none of them are obese is 0.0352.
Step-by-step explanation:
A discrete random variable X having to the set {0,1,2,3....,n} as the spectrum, is said to have binomial distribution with parameters n= the number of trial, and p= probability of successes on an individual trial , if the p.m.f of X is given by,
[tex]P(X=x)=\left(\begin{array}{c}n\\x\end{array}\right) p^x(1-p)^{n-x}[/tex] for x=0,1,2,...,n
=0 elsewhere.
where 0<p<1 and n an positive integer,
Given that,
The probability of the event that a child living in an urban area in the united state is obese is 20%.
n=Number of children = 15, p= 20%= 0.20.
The probability the event that none of them are obese is
=P(X=0)
[tex]=\left(\begin{array}{c}15\\0\end{array}\right) (0.20)^0(1-0.20)^{15-0}[/tex]
=0.0352
