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QUESTION 2 A company is considering investing in a new piece of equipment to reduce the...

QUESTION 2

  1. 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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Answer #1

Answer:

Joint probability of the investment saving $50,000 for 4 yrs?

= Probability of saving of $50,000 x Probability of useful life of 4 years

= 0.7 x 0.8

= 0.56

Thus the joint probability of the investment saving $50,000 for 4 yrs is 0.56

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