Suppose X Is a Random Variable Whose Probabilities Are Poisson $\mathrm { P } _ { \mathrm { n } }$

question 2

Multiple Choice

Suppose X is a random variable whose probabilities are Poisson distributed with $\mathrm { P } _ { \mathrm { n } }$ = $\frac { ( 14 ) ^ { n } } { n ! }$ $e ^ { - 14 }$ . Which of the following is true?

• A) The probability that x = 14 is approximately 0.1060.
• B) The standard deviation of X is 14.
• C) The expected value of X is \(e ^ { - 14 }\) .
• D) The probability that x = 0 is zero.

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Definitions:

Brain Tumors

Abnormal growths of cells within the brain, which could be benign (non-cancerous) or malignant (cancerous).

Seizures

Sudden, uncontrolled electrical disturbances in the brain that can cause changes in behavior, movements or feelings, and levels of consciousness.

Leukemia

A type of cancer that affects the blood and bone marrow, characterized by the production of an excessive amount of abnormal white blood cells.

Bone Involvement

Refers to the extent to which a disease or condition affects the bones, altering their structure, strength, and functionality.