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the Probability Distribution of a Random Variable X Is x4048p(x)0.150.250.200.40\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.
x4048p(x)0.150.250.200.40\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)


Definitions:

Fatty Substance

Materials composed of lipids, which can be found in various forms throughout the body, playing critical roles in energy storage, insulation, and cell structure.

Axons

Long, slender projections of neurons that transmit electrical impulses away from the neuron's cell body to other neurons, muscles, or glands.

Neural Impulse

An electrical signal that travels along a neuron, facilitating communication between the brain and other parts of the body.

Myelin Sheath

A protective covering made of fatty substances and proteins that surrounds the axons of many neurons, enhancing the speed of nerve impulse transmission.

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