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For the set of data below, determine the 5 number summaries. Construct the resulting box and whisker plot. (20 pts)
5, 3, 8, 6, 1, -10, 3, 9, 7, 4, x, (x is your last digit of your CUNYFirst ID number) my ID is 5
Sam has 6 rose bushes. He counted the flowers on each of them. There are 8, 2, 5, 4, 11 and 9. Find the Standard Deviation. Is X a “Usual” number of flowers? X is your last two digits of your CUNYFirst ID Number. (00 = 0, 01 = 1, …) (20 points) my id is 25
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.
All of the previous questions used what we know as Euclidean geometry.
There are other geometries. One such is spherical geometry.
What can you say about the sum of the interior angles of a triangle in spherical geometry?
TOTAL
This question is concerning the completion of the square by using plane geometry
The area of a square of length x is : x
2
The area of a rectangle of sides x and y is : xy
Consider the expression : x
2 + 10x
Such can be considered as the sum of two areas viz square x
2 and a rectangle 10x
Now do the following (sketch essential)
Divide the rectangle into two equal areas viz 5x and 5x
Next to the square place the two rectangles with the side x in common. One to the RHS and the other below.
You will now have a ’nearly complete’ square
a) What is the length of each side of the ’missing square’ in your diagram
b) If you add the area of the missing square to make a big square, what is the area of the complete (big) square
c) By using the areas from your sketch, find the expressions ? and ?? in the following:
x
2 + 10x + (?)2 = (??)2
#340153 on Dec 2023