Answer
$0.0492$
No.
Work Step by Step
Given $p=0.38,n=25$, use binomial distribution $P(X)=_nC_X\cdot p^X(1-p)^{n-X}$
we have $P(X\geq14)=P(14)+P(15)+P(16)=0.0304+0.0136+0.0052=0.0492$
Since this number is much less than 1, it is unlikely that 14 or more
people will get 6 hours or less of sleep each night.
