Typing errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but incorrect word

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Typing errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but incorrect word. Spell-checking software will catch nonword errors but not word errors. Human proofreaders catch 70% of word errors. You ask a fellow student to proofread an essay in which you have deliberately made 14 word errors.

(a) If X is the number of word errors missed, what is the distribution of X?

X is binomial with n = 14 and p = 0.7.

X is Normal with μ = 9.8 and σ = 1.71.     

X is approximately Normal with μ = 4.2 and σ = 1.71.

X is binomial with n = 14 and p = 0.3.

If Y is the number of word errors caught, what is the distribution of Y?

Y is approximately Normal with μ = 4.2 and σ = 1.71.

Y is Normal with μ = 9.8 and σ = 1.71.     

Y is binomial with n = 14 and p = 0.3.

Y is binomial with n = 14 and p = 0.7.

(b) What is the mean number of errors caught? (Enter your answer to one decimal place.)

What is the mean number of errors missed? (Enter your answer to one decimal place.)

(c) What is the standard deviation of the number of errors caught? (Round your answer to four decimal places.)

What is the standard deviation of the number of errors missed? (Round your answer to four decimal places.)