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(ISMT111)Mid04sol.pdf
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Numerical Answers of Mid-term Exam 2004
Question 1
(b)
86.24.

(c)
i. 0.258


ii. P{R = 33000}= Pr{X85}= 0.258
P{R = 32000}= Pr{X=86}= 0.269
P{R = 31000}= Pr{X=87}= 0.304
P{R = 30000}= Pr{X=88}= 0.169
iii. 31616.5

Question 2
(a)
i. 0.4

ii. E(X)= 69,300,000

(b)
i. 0.0129

ii. E(X)= C 8 ,120,000
iii E(X)= C700,000


(c)
E(Consult)= 15,050,000 E(Not Consult)= 10,000,000



Question 3:
(b)
0.3333

(c)
0.375

(d)
0.5

(e)
0.7222



Question 4:
(a)
The sample mean is 5.3689 The sample variance is 6.0405.

(d)
The combined sample mean is 5.0217.


5
The sample standard deviation is 5.7133.

Question 5:
(a)
0.15

(b)
0.3333

(c)
(i) 0.51108 (or 0.5120)


(ii) The cut lossvalue b is -3.64%.
6