Consider the Random Experiment of Rolling a Fair Die Two $P ( X = 2 )$

question 47

Multiple Choice

Consider the random experiment of rolling a fair die two times,and let X denote the random variable that counts the number of times 6 appears.Find $P ( X = 2 )$

• A) \(\frac { 25 } { 36 }\)
• B) \(\frac { 1 } { 36 }\)
• C) \(\frac { 1 } { 12 }\)
• D) \(\frac { 11 } { 36 }\)

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Definitions:

Physiological Aroused

A state of heightened physiological activity, involving increased heart rate, sweating, and energy levels, as a response to a stimulant or stressor.

Cortisol Levels

The concentration of cortisol, a stress hormone, in the blood, which can affect various bodily functions.

Stressor

Any event, experience, or environmental stimulus that causes stress in an individual.

Experimental Group

In an experiment, this group receives or is exposed to the treatment or condition being tested, in contrast to the control group.