There are various means to find out the MTBF.
Some time we conduct two types of test to find out the MTBF,. One is time terminated test and other is failure terminated test. The above problem can taken under time terminated test.
No. of test samples - 1 Million
Hrs tested - 10000 Hrs
Failures - 5
Failure time (t1, t2, t3, t4, & t5)
i.e first sample failed at t1, second sample failed at t2 etc.
MTBF = [10000 ( 1000000-5)+ (t1+t2+t3+t4+t5)]/1Million
Note: We normally use 10 to 50 samples