STA301 assignment no 1 apring 2011 solution

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Assignment No.1 (Course STA301)
Spring 2011 (Total Marks 30)
Question 1: Marks: 4+3+3=10
a) Answer the following questions.
i. What are the main goal /Purpose of Statistical Infe
Main goals of statistical inference:
Making inferences about the characteristics that de
group of data
ii. Write down names of methods of allocation the sampl
stratified sampling.
b). Find the missing frequencies and complete table.
3/25
5/25
3/25
17/25
25 --- 1
c) From the following data, represent the different subjects in two
classes and no. of students on various subjects of a college by making
multiple bar charts.
Subjects Englis Mathemati Statistics Pak. Urd
h cs Studies u
Class A 40 33 21 80 19
Class B 50 39 30 68 10
Question 2: Marks: 4+3+3=10
a) Answer the following questions
i. Define a bi-model distribution.
A bimodal distribution most commonly arises as a mixture of
two different unimodal distributions (i.e. distributions having
only one mode). In other words, the bimodally distributed
random variable X is defined as Y with probability α or Z with
probability (1 − α, where Y and Z are unimodal random
variables and 0 < α < 1 is a mixture coefficient.
ii. The relation between A.M , G.M and H.M is
. AM ≥ G.M ≥ H.M
Under what situation these are equal.
0
10
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90
Class A
Class B