Question: Spelling errors. Spell-checking software catches nonword errors that result in a string of letters that is not a word, as when the is typed as

Spelling errors. Spell-checking software catches “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:

Value of X 0 1 2 3 4 Probability 0.1 0.2 0.3 0.3 0.1

(a) Is the random variable X discrete or continuous? Why?

(b) Write the event “at least one nonword error” in terms of X. What is the probability of this event?

(c) Describe the event X ≤ 2 in words. What is its probability? What is the probability that X < 2?

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