(A) What Fraction of the Random Numbers Are Smaller Than

question 54

Essay

(A) What fraction of the random numbers are smaller than 0.5?
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(B) What fraction of the time is a random number less than 0.5 followed by another random number less than 0.5?
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(C) What fraction of the random numbers are larger than 0.8?
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(D) What do you expect the answers to (A), (B) and (C) to be before simulating? Do the answers you provided to those questions match your expectations? Explain why or why not.
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(E) Suppose your answers to (A), (B) and (C) are not close to the expected answers. What can you do to obtain answers from the simulation that are closer to the expected answers?

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Definitions:

Pair-Bonding

A behavior observed in some species, including humans, where two individuals form a long-term relationship characterized by mutual affiliation and support.

Serotonin

A neurotransmitter in the brain associated with mood regulation, digestion, sleep, and other bodily functions.

Adrenal Glands

Small glands located on top of each kidney that produce a variety of hormones, including adrenaline and cortisol, which help regulate metabolism, immune system, blood pressure, and response to stress.

Epinephrine

A hormone and neurotransmitter also known as adrenaline, involved in the body's fight-or-flight response, increasing heart rate and blood flow.