KNEC Craft Certificate in ICT module 1 Mathematics past paper: July 2019 with video(s) Answers

Watch video solved answers for July 2019 Mathematics paper in CICT

Course Name:  Information and Communication Technology
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Course Level:  Craft Certificate
Sub Level:       Module I
Course Unit:   Mathematics
Exam body:    KNEC
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1. Convert each of the decimal numbers to an 8-bit two’s complement binary number. i) 4710 ii) -7210 (6:14)
2. Differentiate between BCD and EBCDIC computer coding systems (1:09)
3. Describe each of the following types of statistical data; i) Discrete data ii) Continuous data (1:34)
4. Use the binomial theorem to expand the expression (5x+2b)3 in the descending powers of x. (7:32)
5. Given that matrix W = [3-4-25] determine (2W)-1 (4:10)
6. Use the matrix method to solve the following pair of simultaneous equations; X + 2y = -1 3x + 5y = 19 (7:23)
7. Determine the value of x in each of the following inequalities: i) -2(x+3)<10; ii)-4x(x-3)<16. (4:20)
8. Outline three methods of collecting statistical data. (0:40)
9. Describe two ways in which statistical data can be classified. (0:54)
10. Explain two assumptions in Poisson probability distribution. (1:20)
11. Describe each of the following types of matrices: i) Column matrix; ii) Scalar matrix. (2:07)
12. Given the following matrices, X=[2-130-52] Y=[44-30-1-2] and Z = [16120-3] Determine each of the following matrix operation: i) (XY)Z; ii) XTZ. (17:11)
13. Convert each of the following numbers to their equivalent number systems indicated: i) 631508 to binary; ii) 1538 to hexadecimal. (4:24)
14. Table I shows the probability of selling a specified number of cars by a certain car dealer in a certain month. Use it to answer the question that follows. Determine the number of cars the car dealer expects to sell during the period. (4:04)
15. Use the substitution method to solve the following pair of simultaneous equations. i) 3x-y=11 ii) 3x-2y=4 (3:14)
16. A team comprising of 7 men and 6 women and a committee of 5 persons is to be formed from a group. Determine the number of ways in which a committee of 3 men and 2 women could be formed. (3:57)
17. Outline three properties of binomial probability distribution. (0:58)
18. Using Pascal’s triangle, expand the expression (x-3y)4 in ascending powers of y. (7:05)
19. Given the sets U={11,12,13,14,15,16,19}, X={11,12,13,14}and Y={12,14,16}, use Venn diagram to represent each of the following set operations: i) X∪Y ii) X∩U ; iii) X-Y. (6:57)
20. State the meaning of each of the following set operations. i) A ⊂ B ii) Ø iii) x ∈ T iV) ˜A (1:58)
21. Given the matrix L = [3-12-315037] show that L-1=[863-136319-13-131317170] (12:36)
22. State the difference between data sets that were used to draw the graphs labeled (i) and (ii) with respect to skewness: (1:05)
23. A box R contains 2 green and 8 white similar balls. A box S contains 4 green and 8 white similar balls. A ball is drawn at random from box R and placed in box S. Then a ball is drawn at random from box S. i) Represent this information using a probability tree. ii) Determine the probability of each of the following events: 1. Drawing a green ball from box R and a white ball from box S. 2. Drawing a (6:32)
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