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Find the Specified Probability The Professor Gives Each Student 10 Minutes

question 113

Multiple Choice

Find the specified probability.
-A statistics professor has office hours from 9:00 am to 10:00 am each day. The number of students waiting to see the professor is a random variable, X, with the distribution shown in the table. x012345P(X=x) 0.050.100.400.250.150.05\begin{array} { c | c | c | c | c | c | c } \mathrm { x } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm { P } ( \mathrm { X } = \mathrm { x } ) & 0.05 & 0.10 & 0.40 & 0.25 & 0.15 & 0.05\end{array} The professor gives each student 10 minutes. Determine the probability that a student arriving just
After 9:00 am will have to wait at least 30 minutes to see the professor.


Definitions:

Cerebral Cortex

The outer layer of neural tissue of the cerebrum of the brain, involved in many complex brain functions including memory, attention, perceptual awareness, thought, language, and consciousness.

Somatic Motor Nervous System

A part of the peripheral nervous system that transmits signals from the central nervous system to skeletal muscles, controlling voluntary movements.

Autonomic Nervous System

The part of the nervous system that Controls involuntary actions of the smooth muscles and heart and glands.

Dual Innervation

The characteristic of organs receiving impulses from both sympathetic and parasympathetic nervous systems, allowing for precise control.

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