(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?

Discern the limits of science in proving the existence of the physical world.

Identify the role of scientific paradigms in guiding research methodologies.

Acknowledge the diversity of confidence among scientists in field experiments.

Learn the requirements and components of experimental designs.

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Definitions:

Schedule II

A classification for drugs that have a high potential for abuse which may lead to severe psychological or physical dependence, as defined by the Controlled Substances Act in the United States.

Morphine

A powerful opiate analgesic medication derived from opium, used to relieve severe pain.

Substances

Materials or items with distinct physical composition, potentially used in a variety of contexts, including chemical, legal, or medical fields.

FDA

The Food and Drug Administration is a federal agency of the United States Department of Health and Human Services, responsible for protecting public health by ensuring the safety, efficacy, and security of human and veterinary drugs, biological products, and medical devices; and by ensuring the safety of the nation's food supply, cosmetics, and products that emit radiation.