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

question 148

Multiple Choice

Given independent random variables with means and standard deviations as shown,find the mean and standard deviation of the variable X + Y.Round to two decimal places if necessary. $$\begin{array} { l | l l } & \text { Mean } & \text { SD } \\\hline \mathrm { X } & 40 & 4 \\\mathrm { Y } & 70 & 7\end{array}$$

• A)? = 2800,? = 11
• B)? = 110,? = 65
• C)? = 110,? = 8.06
• D)? = 2800,? = 8.06
• E)? = 110,? = 11

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Definitions:

Cognitive-Behavioral Therapy

A type of psychotherapeutic treatment that helps patients understand the thoughts and feelings that influence behaviors, focusing on changing negative thought patterns.

Negative Patterns

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Essential skills for adaptive and positive behavior, enabling individuals to deal effectively with the demands and challenges of everyday life.

Older Adults

Individuals typically aged 65 years and older, often considered in contexts of health, social care, and societal contribution.