The Random Variable X Is the Number of Houses Sold

question 201

Multiple Choice

The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows. $\begin{array}{|c|c|}\hline \text { Houses Sold (x) } & \text { Probability P(x) } \\\hline 0 & 0.24 \\1 & 0.01 \\2 & 0.12 \\3 & 0.16 \\4 & 0.01 \\5 & 0.14 \\6 & 0.11 \\7 & 0.21 \\\hline\end{array}$

• A) \(\mu = 3.50\)
• B) \(\mu = 3.35\)
• C) \(\mu = 3.40\)
• D) \(\mu = 3.60\)

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Definitions:

Normal Population

A group or set of entities that exhibit data distribution in a bell-shaped curve, also known as the Gaussian distribution, where the mean, median, and mode are equal.

Degrees of Freedom

The number of independent values or quantities that can be assigned to a statistical distribution or in the calculation of a statistic.

Sample Sizes

The number of observations or data points that make up a sample, an essential aspect of experimental design affecting the accuracy of statistical estimates.

Clothing Expenditures

The amount of money spent on garments and attire over a certain period.