THE UNIVERSITY OF SYDNEY
Math1005 Statistics
Semester 2
Tutorial Week 6
2006
There will be a tutorial quiz(worth 10%) from 5 minutes after the hour
till 35 minutes after the hour in week 7  4/9 to 8/9
Note it will be closed book. Tables and a sheet of formulae
as on the electronic noticeboard will be supplied.
1.
(
Multiple choice
) Let
X
∼ B
(10
, .
3) be a binomial random variable.
P
(
X
≥
2) is:
(a) 0.1493
(b) 0.8507
(c) 0.6778
(d) 0.6496
(e) 0.3828
2.
(
Multiple choice
)
E
(
X
) and
V ar
(
X
) for the rv
X
in Q1(respectively) are:
3.
(
Multiple choice
) Let
X
∼ N
(2
,
3
2
). This tells us that the distribution of
X
is:
(a) Binomial with mean 2 and variance 9
(b) Binomial with
n
= 2 and
p
= 9
(c) Normal with mean 2 and variance 3
(d) Normal with mean 2 and variance 9
(e) Normal with mean 0 and variance 9
4.
(
Multiple choice
) Let
X
be a normal random variable with mean
μ
and variance
σ
2
and let
Z
= (
X

μ
)
/σ
. The mean and variance of (the standardized normal variable)
Z
(respectively) are:
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 Normal Distribution, Standard Deviation, Variance, Probability theory, $10, $25

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