The table shows discrete probability distribution for the nu

The table shows discrete probability distribution for the number of errors per a page of a medieval text

A. What is the value of c (hint: the sum of probabilities equals 1.00)?

B. What is the mean of the discrete probability distribution

C. What is the variance of the discrete probability distribution (to four decimal places)?

Please show your work.

Total prob = 20 c = 1

c = 1/20 = 0.05

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B) Sum of xp = 8c+10c+12c+8c+5c = 43c

= 2.15

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c) E(X^2) = Sum of X^2 p

= 8c+20c+36c+32c+25c

= 111c

= 5.55

Var(X) = 5.55-Mean^2

= 5.55-4.6225

=0.9275