M.Phil Physics
Course: Computational Physics (Stochastic Methods)
Home Work # 2
This assignment is based on statistics and probability lectures.
Due date: One Week after this distribution in class.
Maximum
load (kN) Number of
cables
93 โ 97 2
98 โ 102 5
103 โ 107 12
108 โ 112 17
113 โ 117 14
118 โ 122 6
123 โ 127 3
128 โ 132 1
Question 1
(a) Table shows maximum loads in kilo-
Newtons supported by certain cables
produced by a company. Total cables are
60. Draw histogram and line-graphs.
(b) Determine the mean maximum loading
using long method and the coding method.
(c) Find the median of this distribution.
(d) Find the mode for the distribution shown in this table.
Question 2
(a) What is the range of the data shown in Table of Question 1.
(b) find the value mean deviation for the distribution in Table (Q.1).
(c) Then find out the variance and standard deviation for the distribution in
Table (Q.1).
(d) Find out the coefficient of variation and in the data (Table (Q.1)).
Question 3
Using Table (Q.1)
(a) find the first, second and third moments.
(b) Then find out the central first, second and third moments.
Question 4
A ball is drawn at random from a box containing 10 red, 30 white, 20 blue and 15
orange balls. Find the probability that a ball drawn is
(a) Orange or red;
(b) Not red or blue;
(c) Not blue;
(d) White;
(e) Red, white or blue.
Home Work # 2
1
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