The Number of Arrivals at a Local Petrol Station Between

question 28

Essay

The number of arrivals at a local petrol station between 3:00 and 5:00pm has a Poisson distribution with a mean of 12.
a. Find the probability that the number of arrivals between 3:00 and 5:00pm is at least 10.
b. Find the probability that the number of arrivals between 3:30 and 4:00pm is at least 10.
c. Find the probability that the number of arrivals between 4:00 and 5:00pm is exactly two.

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Definitions:

High Status Persons

Individuals who hold a position of power, prestige, or high social standing within a group or society.

Communication

The process of exchanging information, ideas, thoughts, and feelings between people through speech, writing, visuals, or behavior.

Intrasender Role Conflict

A situation where an individual receives conflicting messages or expectations from the same source, leading to stress or confusion.

Social Position

An individual's rank or status within a social hierarchy, which can be determined by factors such as occupation, wealth, or education.