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You are trying to locate a stolen car using a helicopter. The helicopter costs $250 per hour to rent. The number of hours to find the car follows a discrete uniform random variable with a = 3 and b =11. What is the expected cost of the search?

A. $2250
B. $1750
C. $2450
D. $2100

Respuesta :

Answer:

B. $1750

Step-by-step explanation:

The mean of the discrete uniform distribution is given by:

[tex]M = \frac{a+b}{2}[/tex]

In this problem, we have that [tex]a = 3, b = 11[/tex].

The expected time to find the car is:

[tex]M = \frac{3+11}{2} = 7[/tex]

7 hours are expected to find the car.

The helicopter costs $250 per hour to rent.

7*$250 = $1750

So the correct answer is:

B. $1750

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