Level NA Statistics Revision Sheet (Term One 2012-2013)
In order to be well prepared for the final exam in 12L Statistics, the following questions
are good questions to solve. However, this is not enough. Make sure all the Basic
Questions of Chapter 1, 2
STATISTICS
Chapter 4a
1.
(a)
None of the fuses are faulty means there are 5 fuses left to chose from.
(b)
One faulty means we choose one of the five faulty and the other four not
faulty
(c)
(d)
(e)
2.
By substituting the values of y = 1, 2, 3 into P (Y =
BASIC QUESTIONS (Gr. 12)
CHAPTER 5 SOLUTIONS
Chapter 5a
1.
a)
The sum of all the probabilities must be 1.
kkkkkk
3
+ + + + + =1 k =
999999
2
b)
1
(1 + 3 + 5 + 7 + 11 + 13)
6
20
=
3
since all the probabilities are the same
mean = E ( X ) =
c)
20
1111
P X
Term 2 12L Statistics Revision Sheet Solutions
1. The random variable X has the following probability distribution function
x
1
2
3
4
5
P(X=x)
0.3
0.15
0.1
0.4
0.05
a. Find the E(X) and the Var (X)
b. Find P (2 X 4)
a. To find E(X), multiply x by P(X=x) f
1213-Term 2 12L Statistics Revision Sheet
1. The random variable X has the following probability distribution function
x
1
2
3
4
5
P(X=x)
0.3
0.15
0.1
0.4
0.05
a. Find the E(X) and the Var (X)
b. Find P (2 X 4)
2. What are the 4 conditions of the Binomial
Statistics Solutions to Chapter 1
CHAPTER 1A
1)
a)
b)
c)
d)
e)
f)
g)
h)
i)
discrete; the number is exact
discrete; the number is exact
continuous; the number is an estimate
continuous; the number is an estimate
discrete; the number is exact
continuous; th
Chapter 3a:
1.
25 1
=
50 2
2.
29
36
3.
a)
b)
91
=
36 4
c)
3
1
=
36 12
d)
30 5
=
36 6
4.
a)
There are three odd numbers out of the six.
31
P ( odd ) = =
62
b)
There are two numbers divisible by three.
21
P ( divisible by three ) = =
63
c)
no seven is possi
Solutions to Chapter 2 Assigned Problems from Statistics Textbook
Textbook: Ch. 2b page 146
When given the regression lines x on y and y on x, the product moment correlation can
be found by taking the square root of the product of the coefficient of varia
STATISTICS
Chapter 2a
1.
a)
x = 140
x = 2360
2
y = 130
xy = 2032 3(5) + 7 (12) + 9 (5) + . + 23 (20)
y = 2012 n = 10
2
b)
y on x : S xy = xy
S xx
b=
x y = 212
n
x
= x x
n
2
S xy
S xx
=
2
2
= 440
212
= 0.53
400
130 212 140
= 5.58
10 400 10
y = 5
12L Statistics Solutions to revision sheet not found on the web
Basic Question 1d #4:
For the question on the revision sheet that says
Basic Question 1d# 4 ( In addition to finding the mean in this question, students must be
able to calculate the variance