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Suppose a factory has one vital machine that breaks down on any given day (and can only break down once per day) with pr

Posted: Wed Jul 06, 2022 12:05 pm
by answerhappygod
Suppose a factory has one vital machine that breaks down on any given day (and can only break down once per day) with probability 0.05. They have a very big order due in 4 weeks (28 days) and they know that if the machine breaks down more than 3 times, they will not meet this deadline. Given this setup, what is the
probability that they meet their deadline?
What is the probability that the machine breaks
down between 2 and 4 times (inclusive) over the next 4 weeks?