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Tim (under 25) earns a fortnightly wage of R3 050. He pays 7.5% of it to a pension fund and 2% to a union.

Assume that there are 26 fortnights in a year. 


If Tim earned the same wage for a full tax year, what would his taxable annual earnings be?


Eugene earns a monthly salary of R10 000. He gets a travel allowance of R2000. The employer pays Eugene's medical aid of R500. R400 per month is deducted from his salary for a pension fund. In February he earned commission of R5000. (Eugene is the only member on the medical aid fund. His company contributes R500 while he makes no contribution towards the fund).


Calculate Eugene's Maximum monthly allowable pension fund deduction.


Eugene earns a monthly salary of R10 000. He gets a travel allowance of R2000 (use the 80% option to calculate). The employer pays Eugene's medical aid of R500. R400 per month is deducted from his salary for an approved pension fund. In February he earned commission of R5000. (Eugene is the only member on the medical aid fund. His company contributes R500 while he makes no contribution towards the fund).


Calculate the total earnings of Eugene's remuneration (taxable income) for February.


consider a consumer with income rupees hundred there are two commodities 1 and 2 to choose from if the consumer spends all his income on good one he can buy 5 units of it if he spent all his income on good to he can buy 20 units of it is based on the given information attempt the following

A company manufactures fuses. The percentage of non-defective fuses is 95.4%. A sample of 9 fuse was selected. Calculate the probability of selecting at least 3 defective fuses.


A company manufactures bulbs. The probability of getting a defective bulb is 0.055. A sample of 100 bulbs were selected. Use Poisson approximation to binomial distribution to find the probability of finding at most 3 non-defective bulbs.



Two machines P and Q are used to produce bags of cement of masses in kilogrammes shown in the table.

Machine P

50

51

48

50

51

52

54

51

51

Machine Q

54

49

56

47

50

51

52

53




Test if there is a difference between the two machines.



The probability that a life bulb will have a life time of more than 682 hours is 0.9788. The probability that a bulb will have a life time of more than 703 hours is 0.0051. Find the probability that a bulb will last for more than 648 hours.



The mean and variance of defective items is 0.72 and 0.6876. Find the probability of getting 12 non-defective items.


The table given below is for scores in Management Accounting M.A) and Quantitative Techniques (Q.T).

Student

A

B

C

D

E

F

G

H

M.A

86

77

68

71

67

90

78

71

Q.T

80

82

73

69

72

85

84

65


Test for existence of linear relationship at 5% level of significance.




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