On the Average, 6

question 76

Essay

On the average, 6.7 cars arrive at the drive-up window of a bank every hour. Define the random variable X to be the number of cars arriving in any hour.
a.What is the appropriate probability distribution for X? Explain how X satisfies the properties of the distribution.
b.Compute the probability that exactly 5 cars will arrive in the next hour.
c.Compute the probability that no more than 5 cars will arrive in the next hour.

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Definitions:

Microwave

An electromagnetic wave with a wavelength in the range of 1 millimeter to 1 meter; also refers to a kitchen appliance using microwaves to heat or cook food.

Radio

A technology that uses electromagnetic waves to transmit or receive sound and other types of data over long distances without wires.

Satellite

An artificial body placed in orbit around the earth or another planet in order to collect information or for communication.

Fiber

Fiber, in the context of telecommunications, refers to fiber optic technology, which uses glass or plastic fibers to transmit data at high speeds over long distances.