A Manufacturing Company Has 5 Identical Machines That Produce Nails

question 119

Short Answer

A manufacturing company has 5 identical machines that produce nails. The probability that a machine will break down on any given day is .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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Definitions:

Industrial Cleaning Products

Chemicals and equipment designed for cleaning operations in factories, warehouses, and other industrial settings.

Value Cocreation

The collaborative process between companies and customers where both parties work together to create better products, services, or experiences.

Major Business Function

Core activities carried out within an organization that are essential to its operation, such as marketing, finance, human resources, and production.

Marketing Evolution

The process of change and development in marketing strategies and approaches over time, adapting to technological advancements and consumer behavior changes.