(a) Show that the entropy of a "fair" coin flip event (equal probability of heads ails) is 0.693 kB (or S/kB = 0.693). Hint: we did this in Chemistry 2102! (b) Show a "rigged" coin flip (such as a 90% chance of getting heads, 10% chance of tails) es a lower entropy than this value. Calculate what this entropy is. (c) Why is the %3D opy lower in part (b) compared to part (a)?
(a) Show that the entropy of a "fair" coin flip event (equal probability of heads ails) is 0.693 kB (or S/kB = 0.693). Hint: we did this in Chemistry 2102! (b) Show a "rigged" coin flip (such as a 90% chance of getting heads, 10% chance of tails) es a lower entropy than this value. Calculate what this entropy is. (c) Why is the %3D opy lower in part (b) compared to part (a)?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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![(4) (a) Show that the entropy of a "fair" coin flip event (equal probability of heads
or tails) is 0.693 kB (or S/kB = 0.693). Hint: we did this in Chemistry 2102! (b) Show
that a "rigged" coin flip (such as a 90% chance of getting heads, 10% chance of tails)
gives a lower entropy than this value. Calculate what this entropy is. (c) Why is the
entropy lower in part (b) compared to part (a)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F668c0dd8-c829-4bb4-b123-8cbc4ec821ce%2F075a2b80-7e27-4b3f-acb8-cbe682ecc99e%2Fjgm5sf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(4) (a) Show that the entropy of a "fair" coin flip event (equal probability of heads
or tails) is 0.693 kB (or S/kB = 0.693). Hint: we did this in Chemistry 2102! (b) Show
that a "rigged" coin flip (such as a 90% chance of getting heads, 10% chance of tails)
gives a lower entropy than this value. Calculate what this entropy is. (c) Why is the
entropy lower in part (b) compared to part (a)?
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