Let X Have a Binomial Distribution with Parameters N = $P ( 10 \leq X \leq 15 )$

question 13

Essay

Let X have a binomial distribution with parameters n = 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p = .5 and .6, and compare to the exact probabilities calculated from the cumulative binomial probabilities table available in your text.
a. $P ( 10 \leq X \leq 15 )$
b. $P ( X \leq 10 )$
c. $P ( X \geq 15 )$

---

Definitions:

Informal Elements

Aspects of an organization or society that are not officially documented, yet play a significant role in its operations or culture.

Open Systems

Organizations or entities that interact with their environment by exchanging information, resources, and energy with it.

Organizational Behavior

The study of individual and group dynamics within an organizational setting, focusing on improving job performance and well-being.

Organizational Variables

Factors or characteristics within an organization that can influence its operations and outcomes.