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Determine Whether the Events Are Mutually Exclusive If We Randomly Select One of the Customers Represented in a Bank

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Determine whether the events are mutually exclusive.
-The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results.  Waiting TimeNumber of  (minutes)  Customers 031347108111112155161942023224273\begin{array}{l}\begin{array} { r | r } \text { Waiting Time}&\text{Number of }\\\text { (minutes) }&\text{ Customers } \\\hline 0 - 3 & 13 \\4 - 7 & 10 \\8 - 11 & 11 \\12 - 15 & 5 \\16 - 19 & 4 \\20 - 23 & 2 \\24 - 27 & 3\end{array}\end{array} If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes?


Definitions:

Customer Opinions

Feedback and perspectives from users or buyers about a product or service, typically used to improve offerings or understand market needs.

Competitive Advantages

Competitive advantages are factors or attributes that allow a company to outperform its competitors, such as superior quality, brand reputation, or cost efficiency.

Value Chain

A model that outlines the series of steps a company takes to create and deliver a product or service to the market, adding value at each stage.

Buying Criteria

The set of attributes or characteristics that consumers consider when deciding to purchase a product or service, such as price, quality, and brand reputation.

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