Download 80 students are enrolled (مسجلين)in start-111 class

‫ورقة األسئلة‬
‫جامعة الملك سعود‬
‫االختبار األول‬
‫الفصل الثاني ‪1430 /1429‬‬
‫مقرر ‪ 324‬إحص‬
‫الساعة ‪- 3‬‬
‫كلية العلوم‬
‫قسم اإلحصاء وبحوث العمليات‬
‫السبت ‪1429 -12-1‬‬
‫‪4: 30‬‬
‫اسم الطالبة ‪_________________________________________________________ :‬‬
‫رقم الطالبة ‪_________________________________________________________ :‬‬
‫رقم الشعبة ‪ ___________________________ :‬رقم التسلسل ‪____________________:‬‬
‫أستاذة المقرر ‪________________________________________________________ :‬‬
‫ضعي الحرف ذو اإلجابة الصحيحة في الخانة المخصصة لكل سؤال‬
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‫‪Question‬‬
‫‪Answer‬‬
‫‪Question‬‬
‫‪Answer‬‬
‫مع أطيب التمنيات بالنجاح والتوفيق‬
‫‪Question (1):‬‬
‫‪In how many ways can we arrange 3 red balls, 5 green balls and 1 white balls of‬‬
‫?‪different sizes‬‬
‫‪1- In a row‬‬
‫‪a) 720‬‬
‫‪b) 362880‬‬
‫‪c) 40320‬‬
‫‪d ) 30240‬‬
‫‪e) none of these‬‬
‫‪2- In a circle‬‬
‫‪a) 504‬‬
‫‪b) 362880‬‬
‫‪c) 40320‬‬
‫‪d ) 30240‬‬
‫‪e) none of these‬‬
3- In a row where the balls of the same color are identical
a) 504
b) 362880
c)40320
d ) 30240
e) none of these
---------------------------------------------------------------------------------------------------Question (2):
*How many three digit number can be formed from the digits 2,3,4 and 5 when
(repetitions is not allowed)
4-If the number is even is
a) 32
b) 12
c) 8
d) 18
e) none of these
*If a committee of 7, consisting of 2 doctors, 2 teachers and 3 engineers is to be
chosen from a group of 5 doctors, 6 teachers and 4 engineers, then
5-The number of possible committees is
a)60
b)360
c)630
d) 600
e) none of these
-----------------------------------------------------------------------------------------------------6-The different arrangements which are made from the following set  , , ,  ,  ,  
is
a)120
b)360
c) 60
d) 36
e) none of these
-----------------------------------------------------------------------------------------------------Question (3):
The following table represent the relation between sex and smoking habits, for 180
individuals
Non-smokers (A) Moderate smokers (B) Heavy smokers (C) Total
Male (M) 21
36
30
87
Female (F) 48
26
19
93
Total
69
62
49
180
If one of these individuals is selected at random, then the probability that
7- He is a male and he is a moderate smoker is
a) 0.2
b) 0.344
c) 0.483
d) 0.5
e) none of these
8- She is a female given she is a non-smoker is
a) 0.383
b) 0.6956
c) 0.516
d) 0.413
e) none of these
----------------------------------------------------------------------------------------------Question (4):
If the probability mass function of the random variable X is given by
-2
0
1
3
X
0.25
0.3
0.35
0.1
f (x )
Then
9- P (X  2) 
a) 0.45
b) 0.1
c) 0.90
d) 0.75
e) none of these
10- P (0.5  X  5) 
a) 0
b) 1
c) 0.45
d) 0.75
e) none of these
2
11- The expected value of (2x  1) 
a)- 3.5
b)-4.5
c) 4.5
d) 3.5
e) none of these
12- The variance of (1  3x ) 
a)20.19
b)2.227
c) 6.68
d) 20.05
e) none of these
13- F (3) 
a) 1
b) 0
c) 0.1
d) 0.9
e) none of these
----------------------------------------------------------------------------------------------Question (5):
If Y is a random variable has the probability density function
6 y (1  y ) 0  y  1
f (y )  
0
otherwise

14- P ( y  0.5) 
a) 0.125
b) 0.5
c) 0.15
d) 0.55
e) none of these
15- The standard deviation of Y is
a) 0.2236
b) 0.5
c) 0.25
d) 0.3
e) none of these
2
16- The expected value of ( y  3) is
a) 0.223
b) 0.23
c) 3
d) 12.3
e) none of these
17- F(Y)=
a) y 2 (3  2 y )
b) y (3  2 y 2 )
c) 1
d) 0
e) none of these
----------------------------------------------------------------------------------------------Question (6):
c
c
For two events A and B, if p (A  B )  0.62 , p (A )  0.77 and p (B )  0.67
then
18- p (A  B ) 
a)0.18
b)0.95
c)0.15
d)0.05
e) none of these
c
c
19- p (A | B ) 
a)0.04
b)0.15
c)0.07
d)0.05
e) none of these
--------------------------------------------------------------------------------------------------Question (7):
* If Y is a random variable has mean 10 and variance 4, then
20-The expected value of X  2Y  2 is.
a) 20
b) 4
c) 18
d) 10
e) none of these
21- The standard deviation of X  2Y  2 is.
a) 20
b) 4
c) 8
d) 16
e) none of these
--------------------------------------------------------------------------------------------------Question (8):
Suppose that the continuous random variable Y has the following probability density
function is
cy 2 , 1  y  1
f (y )  
otherwise
 0
22- The constant c is
a)1
b)2
c) 1.5
d) 0.667
e) none of these
---------------------------------------------------------------------------------------------------
Question (9):
Let B  A, P(B)  0, then
23- P (A | B ) 
a)1
b)0
c) 0.5
d) -1
*Let A,B are mutually exclusive, P(B)  0, then
24- P (A | B ) 
a)1
b)0
c) 0.5
d) -1
e) none of these
e) none of these
--------------------------------------------------------------------------------------------------Question (10):
* A random variable X has a mean   10 and a variance  2  4 . Using
Chebyshev's Theorem, then the probability of
25- P ( X  10  4) 
a) 0.25
b)0.75
c) 0.11
d) 0.66
e) none of these