The Transition Matrix Below Shows the Probabilities That Customer Switch

question 52

Short Answer

The transition matrix below shows the probabilities that customer switch between two grocery stores, Don's and Limmer's, each week. $$\begin{array}{l}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Next Week }\\\begin{array} { l c c } \text { This Week } & \text { Don's } & \text { Limmer's } \\\hline \text { Don's } & 0.9 & 0.1 \\\text { Limmer's } & 0.2 & 0.8\end{array}\end{array}$$
If there are 2000 customers who shop at either store, how many over the long run would shop at Limmer's?

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Definitions:

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Probability

An evaluation of the chance an event has to take place, using a scale from 0 to 1.

Probability Distribution

A mathematical function that describes the likelihood of obtaining the possible values that a random variable can assume.

Owns More Than One

Refers to an individual or entity possessing more than one of something, suggesting multiple ownerships.