1-7.2 A certain typist sometimes makes mistakes by hitting a key to the right or left of the intended key, each with a probability of 0.02. The letters E, R, and T are adjacent to one another on the standard QWERTY keyboard, and in English they occur with probabilities of Pr (E) = 0.1031, Pr (R) = 0.0484, and Pr (T) = 0.0796. a) What is the probability with which the letter R appears in text typed by this typist? b) What is the probability that a letter R appearing in text typed by this typist will be in error?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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Change the problem to say that problem of hitting a key to the right is 0.03, but the probability of hitting the key to the left is 0.02.

1-7.2 A certain typist sometimes makes mistakes by hitting a key to the right or left of the
intended key, each with a probability of 0.02. The letters E, R, and T are adjacent
to one another on the standard QWERTY keyboard, and in English they occur with
probabilities of Pr (E) = 0.1031, Pr (R) = 0.0484, and Pr (T) = 0.0796.
a) What is the probability with which the letter R appears in text typed by this typist?
b) What is the probability that a letter R appearing in text typed by this typist will be
in error?
Transcribed Image Text:1-7.2 A certain typist sometimes makes mistakes by hitting a key to the right or left of the intended key, each with a probability of 0.02. The letters E, R, and T are adjacent to one another on the standard QWERTY keyboard, and in English they occur with probabilities of Pr (E) = 0.1031, Pr (R) = 0.0484, and Pr (T) = 0.0796. a) What is the probability with which the letter R appears in text typed by this typist? b) What is the probability that a letter R appearing in text typed by this typist will be in error?
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