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(ISOM111)[2010](f)midterm~2693^_10372.pdf
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Model Answers to Exam #1 (ISOM111 Fall 2010) Sections L2, L3, L4, and L9
(1)
Survive Not survive
C-section (0.824 15.3) 12.6072 2.6928 15.3
Not C-section 75.0928 9.6072 84.7
87.7 12.30 100.0

(1a)(3 pts)Answer: P (C . section not survive) = 2.6928% (1b)(4 pts)Answer: P (Survive | not C . section) = 75.0928/84.7=0.886574 (1c)(3 pts)Answer: (B)
(2)
(2a)(5 pts)Answer: 0.4124
.
.
3
P (> 5 yrs | 3 yrs) = 40/97 = 0.4124
97
.
40 .

(2b)(5 pts)Answer: 0.1031
10
...
>8yr
>5yr
P (> 8 yrs | 3 yrs) = 10/97 = 0.1031
3yr 100 <3yr
(3)
.
31
Given P (D) = 86/150,P (C) = 53/150,
66 20 .
33 .

and P (D C) = 20/150,
D C
(3a)(3 pts) Answer: P (D | C) = 20/53 = 0.3773 150 .
.


(3b)(3 pts) Answer: P (Dc Cc)=1 . (86 + 53 . 20)/150 = 1 . 119/150 = 0.2067 (3c)(4 pts) Answer:
.66..20..33..31. 8936928 1 5456 465
5032
= =0.0193863
.150. 1.169554298 1015
10
1

(4a)(4 pts) RETURN: . Yes, there is at least one outlier.
.0.35 . 2.414 13.05 . 2.414
Zmin == .1.1212; Zmax = =+4.3145
2.4652 2.4652
BETA: . No, there is no outlier.
0.6254 . 1.5263 2.2701 . 1.5263
Zmin == .2.4192; Zmax = =+1.9973
0.3724 0.3724
SIGMA: . Yes, there is at least one outlier.
1.8750 . 14.2453 22.0455 . 14.2453
Zmin == .3.4802; Zmax = =+2.1945
3.5545 3.5545
(4b)(6 pts)
0.1654

= =+0.180166;
r
RETURN,BETA
2.4652 0.3724 3.0755

= =+0.350982
r
RETURN,SIGMA
2.4652 3.5545 0.5368

= =+0.405531
r
BETA,SIGMA
0.3724 3.5545

BETA SIGMA
Strongest pair of variables: and
RETURN SIGMA
Next strongest pair of variables: and
RETURN BETA
Weakest pair of variables: and
(5a)(4 pts) (i) TRUE
(ii) FALSE
(iii) FALSE
(iv) FALSE

(5b)(i)(3 pts) Answer: (A)
84.49 . 2.414
Newmean= = 2.414
34 (6.0772)(35 . 1) . 0
New variance = = 6.261357
34 . 1

(5c)(ii)(3 pts) Answer: (A) The original median of 2.09 was an observation ranked 18th. After the removal of a higher-ranked observation recorded as 2.414, the new median out of the remaining 34 observations is the average of the observations ranked 17th and 18th respectively. The 17th-ranked observation is either equal to or smaller than the 18th-ranked observation.
2