Spell checking software catches “non-word errors” that result in a string of letters that is not...

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Spell checking software catches “non-word errors” that result in a string of letters that is not...

Spell checking software catches “non-word 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 non-word errors has the following distribution:

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

Write the event “at least one non-word error in terms of X. What is the probability of this event?
Describe the event X ≤ 2 in words. What is its probability? What is the probability

that X < 2?

math Statistics-And-Probability

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Answer 1

Answer #1

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

a) P(X ≥ 1) = P(1)+P(2)+P(3)+P(4)

= 0.2+0.3+0.3+0.1 = 0.9

b) X ≤ 2 means less than or equal to 2 non-word error .

P(X ≤ 2 ) = P(0)+P(1)+P(2)

= 0.1+0.2+0.3 = 0.6

P(X < 2) = P(0)+P(1) = 0.1+0.2 = 0.3

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Answer 2

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