* Half life is 3.8 days,
So, 15.2 days will have 4 half life (15.2/3.8).
So, the sample left after 15.2 days will be,
Therefore 6.25 kg of the sample left after 15.2 days.
[tex]100\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=6.25\text{ kg}[/tex]