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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.




Amultimodestep-indexfiberhascoreand cladding refractive indices of 1,475 and 1.458 respectively. If it has a core radius of 30 μm and operates at a wavelength of 1250 nm.



– What should be the core radius of the fiber if it is to operate as a single mode fiber

Sonja Cc is a small firm that makes outfits for customers tailored for their functions, in May 2021 she was ordered for a baby shower (BS)

The details for the Job BS are as follows:

Direct materials: 12 units at N$124.

Direct labour: 20 hours for department A at N$25 per hour.

10 hours for department B at N$30 per hour

12 hours for department C at N$27.50 per hour


The firm allocates manufacturing overheads budgeted at N$2500 in department A, N$2000 in department B and N$3000 in department C.

The firm expects a profit of 55% on the total cost of BS


Required:

a)Calculate the cost of the baby shower BS

b)Calculate the selling price of a baby shower (BS)

c)If the number of outfits are the same for each type of function, which function should Sonja choose to produce and why?


Diagram to explain why all giffen goods are inferior but not all inferior goods are giffen good


What would the genotypic ratio look like if aa was crossed with aa

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