Compute the Variance and Standard Deviation of a Discrete Random $\begin{array}{|c|c|c|c|c|c|}\hline x & 0 & 1 & 2 & 3 & 4 \\\hline P(x) & 0.02 & 0.07 & 0.22 & 0.27 & 0.42 \\\hline\end{array}$

question 134

Multiple Choice

Compute the Variance and Standard Deviation of a Discrete Random Variable
-A baseball player is asked to swing at pitches in sets of four. The player swings at 100 sets of 4 pitches. The probability distribution for hitting a particular number of pitches is given below. Determine the standard deviation for this discrete probability distribution. $\begin{array}{|c|c|c|c|c|c|}\hline x & 0 & 1 & 2 & 3 & 4 \\\hline P(x) & 0.02 & 0.07 & 0.22 & 0.27 & 0.42 \\\hline\end{array}$

• A) \(1.05\)
• B) \(1.10\)
• C) \(1.21\)
• D) \(0.28\)

---

Definitions:

Assigning Tasks

The process of distributing work activities or responsibilities to individuals or teams based on skills, availability, or strategic importance.

Job Design

The process of organizing work into the tasks required to perform a specific job, including deciding on the content and structure of job roles.

Punishment

is the imposition of a penalty as a result of an offense, serving as a method of enforcing rules and discouraging undesired behavior.

Contingent Reinforcement

A behavior modification technique where the delivery of a reward or punishment is dependent on the occurrence of a specific behavior.