The Owner of a Pet Store Is Trying to Decide

question 76

Essay

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets and thinks that she might be able to replace the clothes with more interesting and profitable items on the shelves. Before making a final decision she decides to keep track of the total number of customers for a day, and whether they purchase specialty clothes for their pet.
-What is the probability that she does not sell a garment until the 7th customer? Show work.

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Definitions:

Obsessions

Persistent, unwanted thoughts, urges, or images that cause distress or anxiety.

Compulsions

Repetitive behaviors or mental acts that an individual feels driven to perform in response to an obsession or according to rigid rules.

Related

Having a connection or association with something else, either by blood, context, or similarity.

Cleaning Compulsion

A common compulsion in which people feel compelled to keep cleaning themselves, their clothing, and their homes.