Question

4. + MBasicStat7 12.E.045. My Notes + Ask Your Teacher 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 write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution. Value of x Probability 0 0.05 1 0.15 2 0.29 3 0.25 4 0.26 (a) Is the random variable X discrete or continuous? Why? X is discrete because it has a finite sample space. X is discrete because it has a infinite sample space. X is continuous because it has a infinite sample space. X is continuous because it has a finite sample space. (b) Write the event "at least one nonword error" in terms of X. Ιν ν OOOOO X51 Ν Λ What is the probability of this event? (c) Describe the event x < 2 in words. more than 2 nonword errors no more than three nonword errors no more than two nonword errors less than 2 nonword errors What is its probability? What is the probability that X < 2?

Answer 1

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