Approximate Binomial Probabilities Using the Normal Distribution
-Assuming That All $P ( 12 \leq x \leq 15 )$

question 50

Multiple Choice

Approximate Binomial Probabilities Using the Normal Distribution
-Assuming that all conditions are met to approximate a binomial probability distribution with the standard normal distribution, then to compute $P ( 12 \leq x \leq 15 )$ from the binomial distribution we must compute _____as the normal approximation.

• A) \(\mathrm { P } ( 11.5 < \mathrm { x } < 15.5 )\)
• B) \(\mathrm { P } ( 12.5 < \mathrm { x } < 14.5 )\)
• C) \(\mathrm { P } ( \mathrm { x } > 15.5 )\) and \(\mathrm { P } ( \mathrm { x } < 11.5 )\)
• D) \(\mathrm { P } ( \mathrm { x } > 12.5 )\) and \(\mathrm { P } ( \mathrm { x } < 14.5 )\)

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Definitions:

Centration

The tendency, especially in young children, to focus on one aspect of a situation while neglecting others, influencing their understanding of cause and effect.

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or touched, a concept developed in infancy.

Egocentrism

The inability to differentiate between one's own perspective and someone else's perspective.

Reversibility

A concept in cognitive development identifying the ability to recognize that actions can be reversed, restoring the original state, crucial in understanding conservation in Piaget's theory.