A node in a cluster fails every $200$ hours of operation while other nodes never fail. On failure of

the node, the whole system needs to be shutdown. It takes $1$ hour to replace the faulty node and to

bring up the cluster. Then the application needs to be started again. This takes another $1$ hour. The

production loss is $$100$k per hour. $[$Marks: $4]$

What is MTTF in this case?

$1.$ What MTTR in this case?

$2.$ What is the availability of the system?

$3.$ What is the cost of downtime per year?