Distance

Actually, dear M.Sc in stats is a wide course related to business and economics. So I will advise you to go for this course on a regular basis. And, in terms of college, you should apply to central universities and to TATA institute also.

Yes, you can go for MBA in energy and environment stream. Prepare well for the MBA entrance exams. A good score in CAT will make you eligible to sit for top institute's selection process. SIIB is one of the good institutes offering this course.

No colleges offers above course through distance as all the above courses requires thorough understanding and expertize and also lot of practical work is required for it.

There are numerous universities and institutes which are working for distance education. The best should be decided by you as per your profile and standards. Look for the brand name among corporates, approvals, service (important), flexibility, exam pattern and pedagogy. Do a pinpointed analysis and take admission.

Yes, you can do MBA through distance.