maggie2
03-22-2006, 09:40 AM
I have a question that i'm having a really hard time even starting.
The IT department runs 3 redundant computer servers concurrently. For each server there is a 14% chance of crashing in a given day. Assume that a server crashing is independent from any other server crashing.
a.) What is the probability that none of the 3 servers will crash for 7 consecutive days?
b.) What is the probability at a least one server will crash in a 7 consecutive day period?
My thought on the first question would be that there is an 86% chance that the server will not crash. If I had the three probabilities that will give me the probability for one day. Then I multiply by 7? Am I even close?
There are two more sections to this problem but I'm hoping that if I figure out how to set up the first two parts i'll understand the other two.
Any help would be appreciated.
The IT department runs 3 redundant computer servers concurrently. For each server there is a 14% chance of crashing in a given day. Assume that a server crashing is independent from any other server crashing.
a.) What is the probability that none of the 3 servers will crash for 7 consecutive days?
b.) What is the probability at a least one server will crash in a 7 consecutive day period?
My thought on the first question would be that there is an 86% chance that the server will not crash. If I had the three probabilities that will give me the probability for one day. Then I multiply by 7? Am I even close?
There are two more sections to this problem but I'm hoping that if I figure out how to set up the first two parts i'll understand the other two.
Any help would be appreciated.