A collector has captured thirty-one Anachronism-type small monsters. Each Anachronism-type small monster has 27% chance of being a Phlogiston-subtype and a 47% chance of being an Aether-subtype; it cannot be both. What is the probability that exactly seven of the captured small monsters are Phlogiston-subtypes? What is the probability of all but five of the captured small monsters being either Phlogiston- or Aether- subtypes, with those five being plain Anachronism-type monsters of neither subtype? What is the probability that all thirty-one captured small monsters are either Phlogiston- or Aether-

A collector has captured thirty-one Anachronism-type small monsters. Each Anachronism-type small monster has 27% chance of being a Phlogiston-subtype and a 47% chance of being an Aether-subtype; it cannot be both. What is the probability that exactly seven of the captured small monsters are Phlogiston-subtypes? What is the probability of all but five of the captured small monsters being either Phlogiston- or Aether- subtypes, with those five being plain Anachronism-type monsters of neither subtype? What is the probability that all thirty-one captured small monsters are either Phlogiston- or Aether-

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Discrete Math. Counting. Show step by step how to solve this.

A collector has captured thirty-one Anachronism-type small monsters. Each Anachronism-type small monster has a
27% chance of being a Phlogiston-subtype and a 47% chance of being an Aether-subtype; it cannot be both.
What is the probability that exactly seven of the captured small monsters are Phlogiston-subtypes?
What is the probability of all but five of the captured small monsters being either Phlogiston- or Aether-
subtypes, with those five being plain Anachronism-type monsters of neither subtype?
What is the probability that all thirty-one captured small monsters are either Phlogiston- or Aether-
subtypes, with no plain Anachronism-type monsters captured?

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Step 1: Given that :

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Step 2: probability that exactly 7 of them are Phlogiston is computed using binomial probability function:

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Step 3: The probability that all but five of the captured are either Phlogiston or Aether

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Step 4: The probability that all 31 of the captured small monster are either Phlogiston or Aether

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