11th class statistics,100% Guess complete book important objective questions,1st year class 100% guess,part 5, provided by welcome academy

 More important mcqs of complete book inter class statistics,ics class statistics full book important objective questions

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Title:11th class statistics,100% Guess complete book important objective questions,1st year class 100% guess,part 5, provided by welcome academy 

 

1) If X is a random variable is
a) E(X)
b) aE(X)
c) aE(X)+b
d) E(X)+a

2) If y =5x+10,then S.D(y) is
a) 5 S.D(x)
b) 25 S.D(x)
c) 10 S.D (x)
d) 5 S.D(x) + S.D(10)

3) If f(x)=1/10,X=10,then E(X) is
a) Zero
b) 6/8
c) 1/10
d) 1

4)Var(x) is equal to
a) [E(x)]2 -E(x2)
b) E(x2)-[E(x)]2
c) E(x2)
d) None of these

5)Which of the following is not possible in a probability distribution
a) F(x)>0
b) F(x)<0
c) xf(x)=2
d) f(x)=-0.3

6)Random numbers can be generated
a) None of these
b) Both a and b
c) Mechanically
d) Manually

7)Random numbers can be generated manually by
a) Rotating or spinning numbered cards
b) Drawing cards from numbered cards
c) Use of random numbers table
d) All of these

8)Random numbers can be generated mechanically by
a) Programmable calculators
b) By use of digital computers
c) Ordinary calculators
d) Both a and b

9)Its value cannot be exactly examined
a) Mathematical variable
b) Fixed variable
c) Random variable
d) Variables

10)A discrete probability distribution may be represented by :
a) A mathematical equation
b) A graph
c) A table
d) All of these

11)If the random variable X denotes the number of heads when three distinct coins are tossed ,then X assumes the value
a) None of these
b) 1,2,3
c) 1,3,3,1
d) 0,1,2,3

12)If X is a continuous random variable ,then the function f (x) is
a) A probability density function
b) A probability function
c) A density function
d) A distribution function

 13)If X is a random variable and a and b are constant ,the Var(a+bX) is equal to
a) Var(a)+Var(bX)
b) Var(a)+bVar(X)
c) b2Var(X)
d) bVar(X)

14)If X and Y are independent random variables and a and b are constants,then E(aX+bY) is equal to
a) E(aX)+E(bX)
b) aE(X)+bE(Y)
c) (a+b)(E(X)+E(Y))
d) None of these

15)A random variable is also called a
a) Chance variable
b) Stochastic variable
c) Constant
d) both a and b

16)A continuous probability distribution may be represented by :
a) A table
b) A graph
c) A mathematical equation
d) Both b and c

17)If X is a discrete random variable ,then the function f(x) is
a) A probability function
b) A probability density function
c) A density function
d) A distribution function

18)If X and Y are random variable ,then E(X-Y) is equal to
a) E(X) + E(Y)
b) E(X)-E(Y)
c) X-E(Y)
d) E(X)-Y

19)If X and Y are independent random variables ,then Var(X-Y) is equal to
a) Var(X)-Var(Y)
b) Var(X) + Var(Y)
c) E(X-Y)2
d) E(X+Y)2

20)If E(X)=4 ,then find arithmetic mean will be
a) 4
b) 8
c) 1

21)If 'C' is non-random variable ,then E(C) is
a) c
b) 1
c) x

22)An expected value of a random variable is equal to is :
a) Mean
b) Variance
c) S.D
d) Co-variance

23)The probability that a continuous random variable X takes on specific value of x is
a) Greater than zero
b) Less than zero
c) Equal to zero
d) 0 to 1

24)The probability density function F(x) cannot exceed
a) Zero
b) One
c) Mean
d) Infinity

25)If f(x)=1/10, X=10 then E(x) is
a) Zero
b) 6/8
c) 1/10
d) -1

26)The probability that a continuous random variable 'X' takes on specific value of x is
a) Greater than zero
b) Less than zero
c) Equal to zero
d) 0 to 1

27)If X and Y are independent random variables and a and b are constants,then Var(aX+bY) is equal to :
a) aVAr(X) +bVar(Y)
b) Var(aX)+Var(bY)
c) a2Var(X)+b2Var(Y)
d) (a+b)(Var(X)Var(Y))

28)If the random variable X denotes the number of heads when three distinct coins are tossed , then X assumes function
a) 0,1,2,3
b) 1,3,3,1
c) 1,2,3
d) None of these

29)The distribution function F(x) is equal to
a) P(X=x)
b) P(X≤x)
c) P(X>x)
d) None of these

30)For a given binomial distribution with n fixed ,if p<0,then
a) The binomial distribution is skewed to the left
b) The binomial distribution will be skewed to the right
c) The binomial distribution will be symmetric
d) None of these

31)The probability of success p=0.4 for a particular Bernoulli trail,the expression 7!/3!4! [(0.4)3(0.6)4] gives the probability of getting
a) Exactly three successes in seven trails
b) Exactly four successes in seven trails
c) Three or more successes in seven trails
d) Four or more successes in seven trails

32)The standard deviation of a binomial distribution depends on
a) Probability of success
b) Probability of failure
c) Number of trail
d) Both a and c

33)A fair die is rolled three times .The probability of getting three aces is
a) 1/3
b) 1/6
c) 1/216
d) 1/27

34)Which of the following can never be described by a binomial distribution ?
a) The number of defective items produced by an assembly process
b) The amount of water used by a single household
c) The amount of students in the class who can answer this question
d) All of these can always be described by a binomial distribution

35)The parameter of the hypergeometric distribution h(x;N,n,k) are
a) x,N,k
b) N,n,k
c) x,n,k
d) x,N,n,k

36)A hypergeometric random variable is a (an)
a) Continuous random variable
b) Discrete random variable
c) Independent variable
d) Dependent variable

37)A binomial random variable is (an)
a) Continuous random variable
b) Discrete random variable
c) Independent variable
d) Dependent variable

38)Both binomial and hypergeometric distribution are :
a) Continuous probability distributions
b) Discrete probability distribution
c) Neither continuous nor discrete distribution
d) Bivariate distributions

39)In which distribution the successive trails are without replacement ?
a) Hypergeometric distribution
b) Binomial distribution
c) Sampling distribution
d) Continuous distribution

40)The mean and variance of the binomial distribution are
a) n and p
b) np and np
c) np and npq
d) np and pn

41)The number of trials in binomial distribution is
a) Not fixed
b) Fixed
c) Large
d) Small

 42)In a hyper-geometric distribution
a) Mean=zero
b) Mean=variance
c) Mean<variance
d) Mean>variance

43)The binomial distribution is negatively skewed if
a) p=1
b) p>1/2
c) p=1/2
d) p<1/2

44)Binomial distribution is negatively skewed if
a) np=npq
b) p>q
c) p=q
d) p<q

45)For a binomial distribution with n=5 and prob(X=-2) is
a) None of these
b) Less than zero
c) Greater than zero

46)If N=40,n=5,k=4,then mean of hyper-geometric distribution is
a) 1/3
b) 1/4
c) 1/2
d) 1

47)The mean of binomial distribution depends on
a) Probability of success
b) Probability of failure
c) Number of trail
d) Both a and c

48)Which of the following is true for the binomial distribution b(x;n,p)?
a) mean>variance
b) mean <variance
c) mean= variance
d) mean=S.D

49)The mean ,median and mode of the binomial distribution b(x;n,p) will be equal when
a) p=0.5
b) p<0.5
c) p>0.5
d) None of these

50)The number of possible outcomes in a Bernoulli trail is
a) Three
b) Four
c) Two
d) One

51)In which distribution the probability of success remains constant from trail to trail ?
a) Hypergeometric distribution
b) Binomial distribution
c) Sampling distribution
d) Continuous distribution

52)In which distribution the probability of success changes from trail to trail ?
a) Hypergeometric distribution
b) Binomial distribution
c) Sampling distribution
d) Continuous distribution

53)In which distribution the successive trails are with replacement ?
a) Hypergeometric distribution
b) Binomial distribution
c) Sampling distribution
d) Continuous distribution

54)A fair coin is tossed four times .The probability of getting four heads is
a) 1/4
b) 1/2
c) 1/16
d) 1

55)A fair coin is tossed five times.The probability is getting zero head is
a) 1/32
b) 1/5
c) 1/2

56)In hypergeometric distribution ,the trails are
a) Independent
b) Dependent
c) Independent and dependent
d) None of these

57)In a binomial experiment ,the successive trails are
a) Independent
b) Dependent
c) Independent and dependent
d) None of these

58)The binomial probability distribution is symmetrical when
a) p=q
b) p<q
c) p>q
d) np>npq

59)In a hypergemetric distribution N=6,n=2,K=3,then mean=
a) 2
b) 3
c) 1
d) 4

60)In binomial distribution the range of x is
a) Zero to infinity
b) Zero to n
c) -1 to infinity
d) Undefined

61)In binomial distribution n is
a) Changed
b) Zero
c) Fixed
d) Variable

62)In a binomial ,n=20,p=3/5,then variance of this distribution is
a) 60
b) 12
c) 4.8

63)If n=10 and p=0.6 then P(X≥ 0) is
a) 0.5
b) 0.6
c) 1.0
d) 1.2

64)Binomial distribution is positive skewed when
a) p=q
b) p>q
c) p<q
d) p=1/2

65)If P=1/2,then distribution is called:
a) Symmetrical
b) Positively
c) Skewed
d) Negatively

66)The hyper-geometric distribution has    parameter
a) 2
b) 3
c) 1
d) 4

67)The probability of failure is equal to
a) P
b) 1-q
c) P-1
d) 1-P

68)The mean of the hyper-geometric distributions
a) Nn/k
b) Nk/n
c) nk/N
d) n+k/N

69)In a binomial experiment with three trails ,the variable can be take .
a) 2 values
b) 3 values
c) 4 values
d) 5 values

 70)Which of the following is true for the binomial distribution b(x;n,p) ?
a) mean=variance
b) mean <variance
c) mean =variance
d) mean =standard deviation

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