Blackjack
the Probability Distribution of a Random Variable X Is $$\begin{array} { | c | c c c c | } \hline \boldsymbol { x } & - 4 & 0 & 4 & 8 \\\hline p ( x ) & 0.15 & 0.25 & 0.20 & 0.40 \\\hline\end{array}$$

question 25

Essay

Blackjack
The probability distribution of a random variable X is shown below,where X represents the amount of money (in $1,000s)gained or lost in a particular game of Blackjack.
$$\begin{array} { | c | c c c c | } \hline \boldsymbol { x } & - 4 & 0 & 4 & 8 \\\hline p ( x ) & 0.15 & 0.25 & 0.20 & 0.40 \\\hline\end{array}$$
-{Blackjack Narrative} Find the following probabilities:
a.
P(X $\le$ 0)
b.
P(X > 3)
c.
P(0 $\le$ X $\le$ 4)
d.
P(X = 5)

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Definitions:

Brainstem

A crucial part of the central nervous system that connects the brain to the spinal cord and controls vital functions such as breathing and heart rate.

Cerebrum

The largest part of the brain responsible for voluntary activities, intelligence, memory, and emotional expression.

Cerebellum

A part of the brain located at the back of the skull, responsible for coordinating movement and balance.

Diencephalon

A division of the brain that includes structures such as the thalamus and hypothalamus, responsible for relaying sensory information and regulating autonomic functions.