Spell-checking software catches \"nonword errors,\" which are strings of letters
ID: 3208401 • Letter: S
Question
Spell-checking software catches "nonword errors," which are strings of letters that are not words, as when "the" is typed as "eth." When undergraduates are asked to write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution.
(a) Sketch the probability distribution for this random variable.
(b) Write the event "at least one nonword error" in terms of X.
A. X 2
B. X > 1
C. X 1
D. X 1
What is the probability of this event?
(c) Describe the event X 2 in words.
A. no more than three nonword errors
B. less than 2 nonword errors
C. more than 2 nonword errors
D.no more than two nonword errors
What is its probability?
What is the probability that X < 2?
Explanation / Answer
a) The correct option is Option-B)
b) The correct option is Option-C) X 1
c) The correct option is Option-D) no more than two nonword errors
P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)
= 0.12 + 0.19 + 0.31
= 0.62
P(X < 2) = P(X = 0) + P(X = 1)
= 0.12 + 0.19
= 0.31
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