Arrivals at a Box Office in the Hour Before the Show

question 24

Essay

Arrivals at a box office in the hour before the show follow the Poisson distribution with $\lambda$ = 7 per minute. Service times are constant at 7.5 seconds. Find the average length of the waiting line.

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Definitions:

Chytridomycota

A phylum of fungi characterized by producing spores with flagella; they are mostly aquatic.

Evolved

Evolved refers to the gradual development of organisms over generations through changes in their genetic makeup, driven by natural selection and environmental factors.

Basidiocarp

The fruiting body of basidiomycete fungi, which is visible as mushrooms or toadstools, playing a key role in sexual reproduction.

Reproduction

is the biological process by which new individual organisms are produced from their parents.