Compute the Variance and Standard Deviation of a Discrete Random

question 10

Multiple Choice

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

• A) \(3.57\)
• B) \(1.95\)
• C) \(3.97\)
• D) \(0.56\)

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Definitions:

Single Covalent

A type of chemical bond where two atoms share one pair of valence electrons, resulting in a stable molecule.

Ionic Bond

An ionic bond is a type of chemical bond formed through the electrical force between oppositely charged ions.

Double Covalent

A type of chemical bond where two pairs of electrons are shared between two atoms.

Neutrons

Subatomic particles with no electric charge, found in the nucleus of an atom, contributing to the atomic mass and stability of the atom.