Let X Represent the Amount of Time Till the Next

question 22

Multiple Choice

Let X represent the amount of time till the next student will arrive in the library parking lot at the university.If we know that the distribution of arrival time can be modeled using an exponential distribution with a mean of 4 minutes (i.e.the mean number of arrivals is 1/4 per minute) ,find the probability that it will take between 2 and 12 minutes for the next student to arrive at the library parking lot.

• A)0.049787
• B)0.556744
• C)0.606531
• D)0.656318

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Definitions:

Eurasia

A continental landmass that includes both Europe and Asia, often considered as a single geographical region.

Asia

The world's largest and most populous continent, home to a diverse range of cultures, languages, economies, landscapes, and political systems.

North America

A continent in the Northern Hemisphere largely bordered by the Atlantic Ocean to the east and the Pacific Ocean to the west, consisting of countries such as the USA, Canada, and Mexico.

Migration Paths

Routes or movement patterns that populations or individuals follow to relocate from one area to another.