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Hotels, Like Airlines, Often Overbook, Counting on the Fact That

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Essay

Hotels, like airlines, often overbook, counting on the fact that some people with reservations will cancel at the last minute. A certain hotel chain has found that 20% of the reservations will not be used.
a. If we randomly selected 15 reservations, what is the probability more than 8 but fewer than 12 reservations will be used?
b. If four reservations are made, what is the chance fewer than two will cancel?

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Definitions:

RNA Viruses

Viruses that have RNA as their genetic material and often show high mutation rates, influencing the dynamics of infectious diseases.

Temperate Virus

A virus that integrates into the host DNA as a prophage.

Lysogenic Cycle

A type of phage reproductive cycle in which the viral genome usually becomes integrated into the host DNA as a prophage; it is replicated along with the host DNA and does not kill the host cell. Compare with lytic cycle.

Lytic Cycle

A type of phage reproductive cycle in which the release of phages from the bacterial cell results in rapid cell lysis (destruction). Compare with lysogenic cycle.

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