Given Independent Random Variables with Means and Standard Deviations as Shown,find

question 185

Multiple Choice

Given independent random variables with means and standard deviations as shown,find the mean and standard deviation of the variable 4X + 19.Round to two decimal places if necessary. $$\begin{array} { l | l l } & \text { Mean } & \text { SD } \\\hline \mathrm { X } & 100 & 14 \\\mathrm { Y } & 120 & 7\end{array}$$

• A)? = 400,? = 75
• B)? = 419,? = 75
• C)? = 400,? = 56
• D)? = 419,? = 59.14
• E)? = 419,? = 56

---

Definitions:

Cataplexy

Condition characterized by sudden muscular weakness and loss of muscle tone.

Modafinil

A medication prescribed to promote wakefulness in individuals with sleep disorders such as narcolepsy or sleep apnea.

Continuous Positive Airway Pressure

A treatment method using mild air pressure to keep the airways open, commonly used for patients with breathing problems, such as sleep apnea.

Nonpharmacological Intervention

Treatment methods that do not involve the use of medication, such as physical therapy, counseling, or lifestyle changes.