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spell checking software catches \"nonword errors which are strings of letters th

ID: 3171304 • Letter: S

Question

spell checking software catches "nonword errors which are strings of letters that ane not words, as when 'the' is typed as "eth" when undergraduates are asked to write a zso- word essay (without spell-checking), the number x nonword errors has the following value of X o 1 2 3 4 Probability o.12 o.16 o.27 0.29 0.16 (a) sketch the probability distribution for this random variable. Probability Probability 030 03 0.25 0.20 0.20 0.15 0.15 0.10 0.05 Probability Probability 0.30 030 0.25 0.25 020 0.20 0.15 0.1 0.05

Explanation / Answer

a) Option-A

b) Option-C) X > 1

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

               = 1 - 0.12

               = 0.88

c) Option-D) no more than 2 nonword errors

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

               = 0.12 + 0.16 + 0.27

               = 0.55

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

                  = 0.12 + 0.16

                   = 0.28