Fujifilm X-T200 has a
24.0MP APS-C (23.5 x 15.7 mm ) sized CMOS sensor . On the other hand, Sony A3000 has a
20.0MP APS-C (23.5 x 15.6 mm ) sized CMOS sensor and features BIONZ processor.
Below you can see the X-T200 and A3000 sensor size comparison.
Sensor Size and Resolution Comparison image of Fujifilm X-T200 and Sony A3000 Cameras
Fujifilm X-T200 and Sony A3000 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Fujifilm X-T200
or the
Sony A3000 ,
including hyperfocal distance.