The University of Sydney
MATH1005 Statistics
sydney.edu.au/science/maths/MATH1005
Semester 2
Tutorial Week 5
2011
Questions to try before the tutorial.
1. (Multiple choice) A smoke-detector system consists of two parts A and B. If smoke occurs then the it
The University of Sydney
MATH1005 Statistics
sydney.edu.au/science/maths/MATH1005
Semester 2
Tutorial Week 7
2011
Questions to try before the tutorial.
1. (Multiple choice) Random variable X has a cumulative distribution function (CDF)
given by
x0
0,
x/2
Math 1005
Answers to the Midterm Test
Oct 23, 2004
1. Find all rst and second partial derivatives of the function
u(x, y) = sin(x2 y).
Answer
[6 marks]
u
u
= 2x cos(x2 y),
= cos(x2 y),
x
y
2u
= 2 cos(x2 y)4x2 sin(x2 y),
2
x
2u
= sin(x2 y),
2
y
2u
= 2x sin
MATH1005 Tutorial Week 6 Solutions
1. Using tables if X B(8, 0.1) we have P (X 2) 0.9619, so (d) is
the correct answer.
2. If X B(10, 0.3) then since X can only take a value in 0,1,2,. . . ,10,
P (X 2) =
=
=
P (X = 2) + P (X = 3) + + P (X = 10)
1 [P (X =
MATH 1005 - STATISTICS - 2006
Tutorial (Week 9) - Solution 2006
(1) Answer (c)
(2) Answer (e).
(3) Answer (b).
(4) (a) Let X be the number of defectives in a random sample of 12 .
X B(12, 0.1)
P (X < 2) = P (X 1) = 0.6590 .
(b) X # of defectives in the sa
MATH 1005 - STATISTICS - 2004
Tutorial (Week 8) - Solution 2004
(1) Answer (b).
(2) Answer (c). (rounding to 2dp)
P (X 38) = P (Z
38.5 40
) = P (Z < 0.31) = 1 P (Z 0.31) = 1 .62 = 0.38
24
(3) (a) Consumer group claims that JUJUJUICE is less popular than