The probability distribution of the time intervals between successive vehicles passing over the bridge is Exponential.

Here's why:

The exponential distribution is often concerned with the amount of time until some specific event occurs. For example, the amount of time (beginning now) until an earthquake occurs has an exponential distribution. Other examples include the length, in minutes, of long distance business telephone calls, and the amount of time, in months, a car battery lasts.

In this case, the "specific event" is a vehicle passing over the bridge. The time intervals between these events (vehicles passing) are what we're interested in. Since these events are happening at a constant average rate and independently of each other, the time intervals between them would follow an exponential distribution.

Question

The probability distribution of the time intervals between successive vehicles passing over the bridge is Exponential.

Here's why:

The exponential distribution is often concerned with the amount of time until some specific event occurs. For example, the amount of time (beginning now) until an earthquake occurs has an exponential distribution. Other examples include the length, in minutes, of long distance business telephone calls, and the amount of time, in months, a car battery lasts.

In this case, the "specific event" is a vehicle passing over the bridge. The time intervals between these events (vehicles passing) are what we're interested in. Since these events are happening at a constant average rate and independently of each other, the time intervals between them would follow an exponential distribution.

Knowee AI · Accepted Answer

The probability distribution of the time intervals between successive vehicles passing over the bridge is Exponential.

Here's why:

The exponential distribution is often concerned with the amount of time until some specific event occurs. For example, the amount of time (beginning now) until an earthquake occurs has an exponential distribution. Other examples include the length, in minutes, of long distance business telephone calls, and the amount of time, in months, a car battery lasts.

In this case, the "specific event" is a vehicle passing over the bridge. The time intervals between these events (vehicles passing) are what we're interested in. Since these events are happening at a constant average rate and independently of each other, the time intervals between them would follow an exponential distribution.

Question 25Vehicles pass over a road bridge at random times independently of each other and at a constant average rate.Question 25What is the probability distribution of the time intervals between successive vehicles passing over the bridge?ExponentialPoissonNormalGeometric

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