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Mathematics, 17.02.2020 18:33 painespeach1849

A manufacturing company has 5 identical machines that procuce 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 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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