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Monday 4 June 2018

STA301 Statistics and Probability - MCQ - Lecture 15 to 21 (Solved)



multiplication theorem P(AB) equals:
►P(A) P(B)
►P(A) + P(B)
►P(A)  *  P(B|A)           (Page 159)
►P(B\A) * P(B)

The probability of drawing ‘White’ ball from a bag containing 4 red , 8 black and 3 white ball is 
►0
►3/15
►1/12
►1/2

If A and B are mutually exclusive events then P(A or B) equals:
P(A) + P(B) - P(A and B)
P(A) * P(B)
P(A) + P(B)              (Page 155)
P(A|B) + P(B|A)

The simultaneous occurrence of two events is called
►Prior probability
►Subjective probability not confirmed
►Conditional probability
►Joint probability           

Which one of the following measurement does not divide a set of observations into equal parts?

       ► Quartiles
       ► Deciles
       ► Percentiles
       ► Standard deviations

The height of student is 60 inch. This is an example of……? 
►Continues data
►Qualitative data
►Categorical data
►Discrete data 




Which of the statement is true regarding a sample?
►It is a part of population              (Page 13)
►It must contain at least five observations
►It refers to descriptive statistics  
►It produces true value

The probability of drawing a ‘jack card ‘from 52 playing cards is:
·        
·        
·      

If all the values fall on the same straight line and the line has a positive slope then what will be the value of the correlation coefficient ‘r’: 
       ► 0 ≤ r ≤ 1
       ► r ≥ 0
       r = +1
       ► r=-1

What is the Standard Deviation of 7, 7, 7, 7, 7, 7, 7

►49
►1
►0        Standard deviation will always be zero if all the values in data are same
►7

10! =………….

       ► 362880
       3628800
       ► 362280
       ► 362800
     
If a player well shuffles the pack of 52 playing cards, then the probability of a black card from 52 playing cards is: 

       ►1/52 
       13/52
       ►4/52 
       ►26/52 



In a regression line Y= a + bX, the value of the correlation coefficient will be zero if:

►Intercept a ≠ 0
 ►Intercept a = 0 (correct)
►Slope b = 0
►Slope b ≠ 0

The probability of drawing a ‘jack card ‘from 52 playing cards is:
       ►1/52 
       ►4/52  
       ►13/52  
       ►26/52  
     
Which dispersion is used to compare variation of two series?
       ► C.V.      (Page 93)
       ► Q.D.
       ► M.D.
       ► S.D.

The probability of drawing a ‘jack card ‘from 52 playing cards is:
       ►1/52 
       ►13/52                
       ►4/52      rep    
       ►26/52 

In a regression line Y= a + bX, the value of the correlation coefficient will be zero if:

► Intercept a = 0      rep
► Intercept a ≠ 0
► Slope b = 0
► Slope b ≠ 0

Which one of the following measurement does not divide a set of observations into equal parts?

► Quartiles
► Deciles
► Percentiles
► Standard deviations rep

If all the values fall on the same straight line and the line has a positive slope then what will be the value of the correlation coefficient ‘r’: 
       ► 0 ≤ r ≤ 1
       ► r ≥ 0
       r = +1 (Page 129)
       ► r=-1
If a=4 b=2 estimate line (i.e y=a+bx) and independent variable has value 3 the value of dependent variable
► 6  
► 9
► 10  4+2(3)=10
► 11

The number of ways in which 4 books can be arranged
► 4
► 6
► 12
24 (Page 142)

The simultaneous occurrence of two events is called
► Descriptive probability
► Subjective probability 
► Conditional probability
► Joint probability

When coin tossed we get only
►1 outcome
►2 outcomes
►3 outcomes
►4 outcomes

When mean is 25 and S.D is 5 then CV is

► 100%
► 25%
► 20%
► 10%

A set that contains all possible outcomes of a system is known as 
         Finite Set
       ► Infinite Set
       ► Universal Set           (Page 134)
       ► No of these
    
If X and Y are independent, then Var(X-Y) is equal to:

       Var(X)Var(Y) Var(X)Var(Y)
                 
Var(X Y)
                 
       ► Zero

A coin is tossed 3 times then, the number of sample points ii the sample space is:

3
8
6
4

What is the difference between a permutation and a combination:

►In a permutation order is important and in a combination it is not
►In a permutation order is not important and in a combination it is important
►A combination is based on the classical definition of probability
►A permutation is based on the classical definition of probability

What we consider in simple correlation analysis:
►Several independent variables
►Strength of the association between two variables        (Page 128)
►Intercept with the X-axis
►Intercept with the Y-axis

If all the values fall on the same straight line and the line has a positive slope then what will be the value of the correlation coefficient ‘r’:
►0 = r = 1
►r = 0
►r = +1              (rep)
►r=-1

The dispersion which is calculated from all observed values is:
►Standard deviation          (Page 87)
►Quartile deviation
►Rang
►Coefficient of Rang

For any number k ……….1, at least 1 – 1/k2 of the data-values fall within k standard deviations of the mean:
►Greater than 1         (Page 97)
►Less than 1
►Greater or equal to 1
►Less or equal to 1

If Mean = 25 & S.D is 5 then C.V is
►100%
►25%
►20%            (Page 93)rep
►10%
When E is an impossible event,then P(E) is:
►0         (Page 146)
►0.5
►1
►2

When two dice are rolled, the numbers of possible sample points are:
►6
►12
►24
►36         (6*6=36)

The correlation of coefficient lies between :
►0 to 1
► 0 to
►- 1 to +1          (Page 128)
1 to

How many elements are in the sample space of rolling one die:
►6
►12
►24
►36

When two coins are tossed the probability of at most one head is:
►1/4
►2/4
►3/4
►4/4

If A and B are mutually exclusive events then P(A or B) equals:
P(A) + P(B) - P(A and B)
P(A) * P(B)
P(A) + P(B)        (Page 155)
P(A|B) + P(B|A)

Positive square root of variance of a distribution is:
►Rang
►Quartile deviation
►Standard deviation       (Page 91)

The probability of drawing a king of spade from a pack of 52 cards is:

►1/4
►1/13
►1/26
►1/52

5C5   Equals :
►1
►5
►10
►25

we toss a coin , we get only:
►1 outcome
►2 outcomes
►3 outcomes
►4 outcomes

Standard deviation is affected by the change of________:
►Origin & scale
►Origin only
►Scale only      Click here for detail
►Not origin & scale

A die is rolled. What is the probability that the number rolled is greater than 2 and even:
►1/2
►1/3
►2/3            (greater than 2 = 3,4,5,6 = 4 numbers , 4/6=2/3)
►5/6

The probability of drawing any one spade card is:
►1/52
►4/52
►13/52
►52/52


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