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The Owner of a Farmerʹs Market Was Interested in Determining

question 19

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The owner of a farmerʹs market was interested in determining how many oranges a person buys when theybuy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when theybought oranges and record this number for analysis at a later time. The data is given below in the table. Therandom variable x represents the number of oranges purchased and P(x) represents the probability that acustomer will buy x oranges. Determine the variance of the number of oranges purchased by a customer. x12345678910P(x) 0.050.190.200.250.120.1000.0800.01\begin{array} { | c | c | c | c | c | c | c | c | c | c | c | } \hline x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline P ( x ) & 0.05 & 0.19 & 0.20 & 0.25 & 0.12 & 0.10 & 0 & 0.08 & 0 & 0.01 \\\hline\end{array}


Definitions:

Management By Exception

A management style where leaders step in only when performance deviates significantly from set standards or expectations, allowing for autonomous operation under normal conditions.

Qualitative Analysis

A method of assessment that focuses on the quality and characteristics of materials rather than numerical measurements.

SWOT Analysis

A strategic planning tool used to identify the Strengths, Weaknesses, Opportunities, and Threats related to business competition or project planning.

Market-Product Grid

A matrix used to analyze and display the relationship between different markets (or customer groups) and products offered by a business.

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