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.
a.What is the appropriate probability distribution for x? Explain how x satisfies the properties of the distribution.
b.Compute the probability that 4 machines will break down.
c.Compute the probability that at least 4 machines will break down.
d.What is the expected number of machines that will break down in a day?
e.What is the variance of the number of machines that will break down in a day?

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The Answer of 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.
a.What is the appropriate probability distribution for x? Explain how x satisfies the properties of the distribution.
b.Compute the probability that 4 machines will break down.
c.Compute the probability that at least 4 machines will break down.
d.What is the expected number of machines that will break down in a day?
e.What is the variance of the number of machines that will break down in a day?

A Manufacturing Company Has 5 Identical Machines That Produce Nails