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ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD(Department of Mathematics and Statistics)

WARNING1. PLAGIARISM OR HIRING OF GHOST WRITER(S) FOR SOLVING

THE ASSIGNMENT(S) WILL DEBAR THE STUDENT FROM AWARDOF DEGREE/CERTIFICATE, IF FOUND AT ANY STAGE.

2. SUBMITTING ASSIGNMENTS BORROWED OR STOLEN FROMOTHER(S) AS ONES OWN WILL BE PENALIZED AS DEFINED INAIOU PLAGIARISM POLICY.

Course: Mathematics, Statistics and Computers (359) Semester: Spring, 2012Level: F. A Total Marks: 100

Pass Marks: 40

Assignment No. 1(Units: 15)

Note: Attempt all questions and each question carries equal marks.

Q. 1 (a) The ratio of distance in inches shown on a map to actual distance in miles is1 to 50. If the map distance between two cities is 9 inches, how many milesis it from one city to other? (10)

(b) The perimeter of a rectangle is 50m. The length is 10m more than the width.Find the length and width of rectangle; also find the area of rectangle. (10)

Q. 2 (a) The area of a trapezoid is 24 sq. meters. The altitude is 21

of the lower baseand the lower base is 5 meters longer than the upper base. Write down thestatement in equation form for the problem and determine the length of lower and upper base. (10)

(b) Find the surface area and volume of a foot ball whose radius is 20cm. (10)

Q. 3 (a) Find the median, mode and mean of the following marks; 28, 34, 18, 24, 26,30, 35, 33. (10)

(b) A cone has the height of 5 meters and the radius of the cone is 2 meters. Findthe volume and surface area of the cone. (10)

Q. 4 (a) Marks of a student in different subjects are as follows: 25, 35, 45, 27, 50, 30,

13, 57, and 33. Find the variance and standard deviation of the data. (10) (b) A chemist has one solution that is 70% acid (and the rest is water) and

another solution that is 50% acid. What needed is 300 liters of solution that is60% acid. The chemist will prepare it by mixing two solutions on hand. Howmuch of each should be used? (10)

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Q. 5 (a) Consider a cube. Let the length of its each edge be x meters, so the volumeof the cube is 3 x . Let the increase in volume be 98 3m when the edge isincreased by 3 meters. Find the original length of each side of the cube? (10)

(b) The square of an integer is equal to three times itself minus 2. Write thestatement in equation form and find the integers? (10)

Assignment No. 2(Units: 69)

Total Marks: 100 Pass Marks: 40

Note: Attempt all questions and each question carries equal marks.

Q. 1 (a) Three coins are tossed, calculate the following probabilities: (10)(i) P (3 tails)(ii) P (1 heads and 1 tail)

(iii) P (No heads)(b) Write a note on Pascals triangle and discuss how one can use Pascals

triangle to find the probability of getting 2 heads, 1 head and 1 tail. Whentwo coins are tossed simultaneously. (10)

Q. 2 a) Which type of computers do you think would be most suitable for thefollowing purposes. (10)(i) Maintaining data for a large bank (ii) Playing computer games(iii) Working in a nuclear lab

b) What are super computers and why we need super computers? (10)

Q. 3 a) Describe how the hardware components of a computer work together? Andhow the computer components link together? (10) b) Write a note on the input and output devices of computer? (10)

Q. 4 a) Write a note on computer software and discuss applications of computer software. (10)

b) What is artificial intelligence and explain briefly what an expert system is? (10)

Q. 5 a) Write a brief note on the impact of computers in business. (10) b) Discuss the contribution of computers in the development of science and

technology. (10)

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