1.5) A manufacturing company has 5 identical machines that produce nails. The probability that a machine will break down on any given day is 0.1. Define a random variable X to be the number of machines that will break down in a day. (Hint: The given experiment is a binomial distribution) a) Compute the probability that 4 machines will break down. 0.0005 b) Compute the probability that at least 1 machine will break down. 0.4095.

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