Query to check whether my Full Database Backup is running fine.

select a.name, case b.type
when 'D' then 'Full Database Backup'
when 'I' THEN 'Differential Backup'
WHEN 'L' THEN 'Log Backup'
END AS Backup_Type,
max(b.backup_finish_date) LastSuccessfulBackup,
cast((getdate() - max(b.backup_finish_date)) as numeric(5, 2)) as 'IntervalInDays',
case
--when cast((getdate() - max(b.backup_finish_date)) as numeric(5, 2)) > 1 then cast('Completed' as varchar(10))
--when cast((getdate() - max(b.backup_finish_date)) as numeric(5, 2)) > 7 then cast('Failed' as varchar(10))
when datediff(hh,max(b.backup_finish_date),getdate()) > 1 then cast('Completed Full BKP' as varchar(30))
when datediff(hh,max(b.backup_finish_date),getdate()) < 1 then cast('Failed Diff BKP' as varchar(30))
End as completion_Status,
case
when (max(b.backup_finish_date) is NULL )then 'Backup Failed-no Data Found'
end as backup_status_data_not_found
from master..sysdatabases a
LEFT OUTER JOIN msdb..backupset b
ON a.name = b.database_name
where a.name not in ('tempdb') and b.type = 'D'
group by a.name, b.type
order by a.name, b.type