Find the Indicated Probability or Percentage for the Normally Distributed $X$

question 36

Multiple Choice

Find the indicated probability or percentage for the normally distributed variable.
-The variable $X$ is normally distributed. The mean is $\mu = 15.2$ and the standard deviation is $\sigma = 0.9$ . Find $P ( X > 16.1 )$ .

• A)\(0.8413\)
• B) \(0.1550\)
• C) \(0.1357\)
• D) \(0.1587\)

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Definitions:

HCl

Hydrochloric acid, a strong corrosive acid that is used in chemical synthesis and as a digestive aid in the human stomach.

Hydrogen

Hydrogen is a chemical element with the symbol H and atomic number 1, known as the lightest element in the periodic table and a primary component of water.

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance that is the main constituent of Earth's streams, lakes, and oceans.

Potassium

A soft, silvery-white metallic element, very reactive, especially in water, and essential for plant and animal life.