Please answer 12.45 A, B and C with all work shown. Thank you! Spelling errors.

Question

Please answer 12.45 A, B and C with all work shown. Thank you!

Spelling errors. Spell-checking software catcher "nonword errors" that result in a string of letters that is not a word, as when "the" is typed as "teh." When undergraduates are asked to type a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution: Is the random variable X discrete or continuous: Why? Write the event "at least one nonword error" in terms of X. What is the probability of this event? Describe the event X lessthanorequalto 2 in words. What is its probability? What is the probability that X

Explanation / Answer

a) X is discrete variable.

b) X > 1

P(X > 1) = 1 - P(X = 0)

              = 1 - 0.1

              = 0.9

c) Not more than 2 nonword error

P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)

               = 0.1 + 0.2 + 0.3

               = 0.6

P(X < 2) = P(X = 0) + P(X = 1)

               = 0.1 + 0.2

               = 0.3

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