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

question 158

Multiple Choice

Given independent random variables with means and standard deviations as shown,find the mean and standard deviation of the variable $$Y _ { 1 } + Y _ { 2 }$$ $$\begin{array} { c | c c } & \text { Mean } & \text { SD } \\\hline \mathrm { X } & 150 & 12 \\\mathrm { Y } & 200 & 18\end{array}$$

• A)? = 350,? = 21.63
• B)? = 350,? = 30
• C)? = 400,? = 25.46
• D)? = 400,? = 36
• E)? = 400,? = 6.00

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Definitions:

Denial

A defense mechanism where a person refuses to accept reality or facts, effectively blocking external events from awareness.

Refusal To Believe

The act of deliberately choosing not to accept or acknowledge information or facts, often despite evidence to the contrary, which can stem from various cognitive or emotional reasons.

Defense Mechanism

A psychological strategy unconsciously used to protect a person from anxiety arising from unacceptable thoughts or feelings.

Displacement

A psychological defense mechanism where emotions are transferred from one object or person to another less threatening object or person.