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Deffense [45]
3 years ago
14

A construction company is planning to bid on a building contract. The bid costs the company ​$1400. The probability that the bid

is accepted is 1/4. If the bid is​ accepted, the company will make ​$17,600 minus the cost of the bid.
What is the expected value in this​ situation?
Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

$3,000

Step-by-step explanation:

There two possible outcomes:

There is a 3/4 chance that the bid is rejected for a value of -$1,400

There is a 1/4 chance that the bid is accepted for a value of $17,600 - $1,400.

The expected value of the situation is:

E = \frac{3}{4}*(-1,400)+\frac{1}{4}*(17,600-1,400)\\E=\$3,000

The expected value is $3,000.

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