KFS 2312GroupAssignmentJuly2011

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FOE/KFS2312/JULY2011

GROUP ASSIGNMENTGROUP ASSIGNMENT

JULY 2011 SEMESTER

1/2011/2012 ACADEMIC SESSION

SUBJECT : ENGINEERING STATISTICS

SUBJECT CODE : KFS 2312

DURATION : TO BE SUBMITTED BY 14/10/2011-(My Room: LR27)

FACULTY : ENGINEERING

PROGRAMME : DEGREE IN ENGINEERING (HONS): MECHANICAL,

ELECTRICAL, ELECTRONIC, MECHATRONIC, CIVIL

LECTURER : DR. MOHD. KIDIN SHAHRAN

INSTRUCTIONS TO CANDIDATES

This paper consists of three (3) questions; Answer all questions.

It is a group assignment. Each group possibly consists of 3 candidates. Only ONE report per group to be submitted. The name & metric numbers of candidates MUST appear on front pageof the report.

Member of each group MUST attemp to answer at least ONE (1) question.

CONFIDENTIAL 1




QUESTION 1

The final marks in statistics subject of 80 students at a private university

are recorded as given bellow.

68 84 75 82 68 90 62 84 76 93 73 79 88 73 60 93 71 59 85 75

61 65 75 87 74 62 95 78 63 72 66 78 82 75 94 77 69 74 68 60

96 78 89 61 75 95 60 79 83 71 79 62 67 97 78 85 76 65 71 75

65 80 73 57 88 78 62 76 53 74 86 67 73 81 72 63 76 75 85 77

Answer the following

a) Find the highest marks, the lowest marks, and the range of the data,

b) The marks of the five lowest ranking students,c) The marks of the student ranking tenth highest,

d) Develop a frequency table

i. How many students received marks of 74 or above

ii. How many students received marks 85 or below,

iii. The percentage of students received marks higher than 67 but not higher

than 85 marks.

e) Find the mean, mode, median; determine the shape of the distribution.f) Develop the cumulative less than table

g) Plot the histogram & polygon.

h) Plot the cumulative polygon.

[20 Marks]

QUESTION 2

a) A coin is weighted so that Pr(H) = 2/3, and Pr(T) = 1/3. The coin is tossed three

times. Answer the followings:

i. Obtain the sample space of the experiment.

ii. The probability of each simple event,

iii. Let random variable X represent the number of ‘H’ in each simple event,

develop the the distribution table of X,

iv. Obtain E(X), E(X2), and Variance of X

CONFIDENTIAL 2




b) Let X be a continuous random variable with the following distribution

≤≤+

=elsewhere

xk x x f

0

302)(

i. Evaluate the constant k,

ii. Find E(X), E(X2), Variance of X

iii. Obtain Pr( 1 ≤ X ≤ 2)

[20 Marks]

QUESTION 3

a)Let A and B are events with Pr(A) = 0.4, Pr(B) = 0.7, Pr(A∩ B) = 0.2

Find

i. Pr(AlB)

ii. Pr( Ac │ Bc)

iii. Pr(A∪ B)

iv. Pr (A\B)

b) Box A contains nine coins numbered 1 through 9, and Box B contains five coins

numbered 1 through 5. A box is chosen at random and a card drawn from it. If the

number on the drawn card is even, find the probability that the card was from Box

A.

[ Use tree diagram to show the experiment].

[20 Marks]

[Total: 60 Marks]

CONFIDENTIAL 3




ENDS OF ASSIGNMENT PAPER

CONFIDENTIAL 4

Documents

KFS 2312GroupAssignmentJuly2011