The alliance Corp expects to sell the following number of units ofcopper cables at the prices indicated under three different scenarios in the economy. The probability of each outcome is indicated. What is the expected value of the total sales projection?Outcome Probability units PriceA 0.30 200 $15B 0.50 320 30C 0.20 410 40

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Answer:

The expected value of the total sales projection is $8,980.

Step-by-step explanation:

We have these following probabilities:

30% probability of selling 200 units at the price of $15 each. So 30% probability of earning 200*15 = $3,000.

50% probability of selling 320 units at the price of $30 each. So 50% probabilty of earning 320*30 = $9,600.

20% probability of selling 410 units at the price of $40 each, So 20% probability of earning 410*40 = $16,400.

What is the expected value of the total sales projection?

[tex]E = 0.3*3000 + 0.5*9600 + 0.2*16400 = 8980[/tex]

The expected value of the total sales projection is $8,980.