Answer: Option B
Step-by-step explanation:
We can use the binomial formula to solve this problem.
[tex]P(X) = \frac{n!}{x!(n-x)!}*p^x(1-p)^{n-x}[/tex]
Where p is the probability of success, n is the sample size and x is the number of successes expected.
Note that in this case
[tex]p = 0.10[/tex] (probability of an adult passing the fitness test)
[tex]n = 100[/tex]
[tex]x = 17[/tex]
Then we calculate the probability
[tex]P(X=17) = \frac{100!}{17!(100-17)!}*0.1^{17}(1-0.1)^{100-17}[/tex]
[tex]P=0.0106[/tex]
