Question

Count the number of letter As in each page for the first 10 pages of the novel ( do not differentiate capital letter and lower case letter) Please report your data first.

Here is the data

Page 1 = 163 As

Page 2 = 117 As

3 = 131

4 = 159

5 = 89

6 = 107

7 = 95

8 = 181

9 = 211

10 = 153

1. Use you data from the first page, calculate the probability of getting an A in each page, choose appropriate distribution function

a.Calculate the probability of getting 100 or more A’s in the next page.

b.Calculate the probability of getting 200 or more A’s in the next page.

c.Use data from the rest of 9 pages validate findings from a and b.

Answer 1

The distribution is:

x	f	p(x)
1	163	0.12
2	117	0.08
3	131	0.09
4	159	0.11
5	89	0.06
6	107	0.08
7	95	0.07
8	181	0.13
9	211	0.15
10	153	0.11
Sum	1406	1

(a) The probability of getting 100 or more A’s in the next page = 0.87

(b) The probability of getting 200 or more A’s in the next page = 0.15

(c) The probability of getting 100 or more A’s in the next page = 0.12 + 0.08 + 0.09 + 0.11 + 0.08 + 0.13 + 0.15 + 0.11 = 0.87

The probability of getting 200 or more A’s in the next page = = 0.15