A group of scientists is testing the learning ability of monkeys. They want to see if monkeys

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A group of scientists is testing the learning ability of monkeys. They want to see if monkeys have any language preferences. They acquire a monkey that has lived its entire life in Moscow, and they put the monkey in front of a Russian keyboard, which contains 33 characters.
a. They want to see if the monkey can accurately type the entire first line of a famous poem written by Alexander Pushkin:
A group of scientists is testing the learning ability of

The poem has 21 characters in this first line (the scientists do not take spaces into account at all). What is the probability that the monkey types all 21 characters, in order, correctly? (He just types the keys independently, at random.)
b. Next, the scientists put the monkey in front of a 26-character English keyboard and see if he can type the phrase in English. It happens to also take 21 characters when written in English: "A MAGIC MOMENT I REMEMBER" (again, they do not take spaces into account). What is the probability that the monkey types all 21 characters, in order, correctly?
c. What is the ratio of these two probabilities, i.e., how much more likely is the monkey to type the 21 character phrase correctly in English versus in Russian? Give the ratio of the two probabilities that were calculated in the previous two parts of this problem.

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Related Book For  book-img-for-question

Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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