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Please provide thorough explanation. If possible, please type or ensure response is legible. A company is considering investing in a new piece of equipment to

Please provide thorough explanation. If possible, please type or ensure response is legible.

A company is considering investing in a new piece of equipment to reduce the annual costs of producing its products. The new piece of equipment may operate 4 or 5 years. The annual savings may be $40,000, $50,000, or $60,000. The probabilities for each scenario is given in the following table:

Savings Probability Useful Life Probability
$40,000 0.2 4 yrs 0.8
$50,000 0.7 5 yrs 0.2
$60,000 0.1

What is the joint probability of the investment saving $50,000 for 4 yrs?

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