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Spell-checking software catches nonword errors which result in a string of letters that is not a word, as when the is type teh. When undergraduates

Spell-checking software catches "nonword errors" which result in a string of letters that is not a word, as when "the" is type "teh." When undergraduates are asked to write a 250 word essay (without spell checking), the number X of nonword errors has the following distribution:

Errors (X)

0

1

2

3

4

Probability

0.37

0.25

0.18

0.12

In the table shown above the probability of exactly 4 errors is not given. Using what you know about probability distributions, what is the probability of exactly 4 errors?

What is the probability of at least 1 nonword error?

Find the expected value of this distribution. How many nonword errors can you expect from a typical paper written under the previously mentioned conditions?

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