BA-5106
STATISTICS FOR MANAGEMENT
UNIT I - INTRODUCTION TO STATISTICS AND PROBABILITY
MULTI CHOICE QUESTIONS
1.A set of all possible outcomes from an experiment is called a __________
(A)trial
(B)event point
(C)sample point
(D)Sample Space
(A)trial
(B)event point
(C)sample point
(D)Sample Space
2. A sample space whose elements are finite or infinite but countable is called a _________
(A) Continuous Sample Space
(B) event point
(C) Discrete Sample Space
(D)sample point
(A) Continuous Sample Space
(B) event point
(C) Discrete Sample Space
(D)sample point
3. A sample space whose elements are infinite and uncountable is called a _____
(A) Discrete Sample Space
(B)Continuous Sample Space
(C) event point
(D) sample point
(A) Discrete Sample Space
(B)Continuous Sample Space
(C) event point
(D) sample point
4. A sub collection of a number of sample points under a definite rule or law is called an _________
(A) Discrete Sample Space
(B) event
(C) Continuous Sample Space
(D) sample
(A) Discrete Sample Space
(B) event
(C) Continuous Sample Space
(D) sample
5.An event having no sample point is called a ________and is denoted by $ \phi $
(A) Discrete Sample Space
(B) null event
(C) Continuous Sample Space
(D) sample
(A) Discrete Sample Space
(B) null event
(C) Continuous Sample Space
(D) sample
6.An event consisting of only one sample point of a sample space is called a________
(A)Simple event
(B) Discrete Sample Space
(C) Continuous Sample Space
(D) sample
(A)Simple event
(B) Discrete Sample Space
(C) Continuous Sample Space
(D) sample
7.An event is decompose into a number of simple events i called a ___________
(A) compound event
(B) Discrete Sample Space
(C) Continuous Sample Space
(D) sample
(A) compound event
(B) Discrete Sample Space
(C) Continuous Sample Space
(D) sample
8.Events are said to be _________ if there is no reason to expect any one in preference to other
(A) Discrete Sample Space
(B) Equally likely event
(C) Continuous Sample Space
(D) sample
(A) Discrete Sample Space
(B) Equally likely event
(C) Continuous Sample Space
(D) sample
9.The Probability of an event which is certain to occur is ____________
(A) 0
(B) 2
(C)1
(D)3
(B) 2
(C)1
(D)3
10.The Probability of an impossible event is ______________
(A) 3
(B) 2
(C) 1
(D)0
(B) 2
(C) 1
(D)0
11.What is the probability of getting a total of more than 1o in a single throw with two dice?
(A) 1/12
(B) 4/12
(C) 3/12
(D) 5/12
(A) 1/12
(B) 4/12
(C) 3/12
(D) 5/12
12. A random variable is said to be ________ if it takes only a finite or an infinite but countable number of values
(A) continuous Random variable
(B) Discrete Random variable
(C) stochastic variable
(D) random variable
(A) continuous Random variable
(B) Discrete Random variable
(C) stochastic variable
(D) random variable
13.A discrete random variable X the real valued function P(x) is called ______ or probability density function of discrete random variable x
(A) Probability mass function
(B) probability distribution
(C) Probability function
(D) cumulative distribution
(B) probability distribution
(C) Probability function
(D) cumulative distribution
14. If P(x) is a probability function of a random variable X then P(x) is positive for all value of x i.e.________
(A) p(x)>0
(B) p(x) < 0
(C) p(x) $\geq $ 0
(D) p(x) $ \leq $ 0
(A) p(x)>0
(B) p(x) < 0
(C) p(x) $\geq $ 0
(D) p(x) $ \leq $ 0
15.If P(x) is a probability function of a random variable X then Total of all values of p(x) for different x is always _______i.e., $ \sum p(x)=1 $ summation is taken over for all values of x.
(A) 4
(B) 3
(C) 2
(D) 1
(A) 4
(B) 3
(C) 2
(D) 1
16.If P(x) is a probability function of a random variable X then P(x) cannot be _______ for any value of x
(A) division
(B) multiplication
(C) negative
(D) positive
(A) division
(B) multiplication
(C) negative
(D) positive
17. If X is discrete random variable, then its probability function p(x) is discrete probability function,It is also called _________
(A) Probability function
(B) Probability mass function
(C) probability distribution
(D) cumulative distribution
(A) Probability function
(B) Probability mass function
(C) probability distribution
(D) cumulative distribution
18. A ________ is random variable that can take on any value in an interval of two numbers
(A) continuous Random variable
(B) Discrete Random variable
(C) stochastic variable
(D) random variable
(A) continuous Random variable
(B) Discrete Random variable
(C) stochastic variable
(D) random variable
19. __________ is a discrete probability distribution which is obtained when the probability p of the happening of an event is same in all the trials, and there are only two events in each trial.
(A) Binomial Distribution
(B) Poisson Distribution
(C) Normal Distribution
(D) Exponential Distribution
(A) Binomial Distribution
(B) Poisson Distribution
(C) Normal Distribution
(D) Exponential Distribution
20. The distribution $ P(r)=C(n,r) P^r q^{n-r} $ is _______
(A) Poisson Distribution
(B) Binomial Distribution
(C) Normal Distribution
(D) Exponential Distribution
(A) Poisson Distribution
(B) Binomial Distribution
(C) Normal Distribution
(D) Exponential Distribution
21. Mean of Binomial Distribution ___________
(A) npq
(B) n
(C) np
(D) p
(A) npq
(B) n
(C) np
(D) p
22. Variance of Binomial Distribution __________
(A) npq
(B) n
(C) np
(D) p
(A) npq
(B) n
(C) np
(D) p
23. Standard deviation of Binomial Distribution __________
(A) $\sqrt{npq}$
(B) n
(C) np
(D) p
(A) $\sqrt{npq}$
(B) n
(C) np
(D) p
24. Binomial Distribution will be symmetrical if __________ although with n tending to be large it is approximately so
(A) $p \neq q$
(B) p<q
(C) p>q
(D) p=q
(A) $p \neq q$
(B) p<q
(C) p>q
(D) p=q
25. Binomial Distribution will be skew-symmetrical or asymmetric if _________although with n tending to be large it is approximately so
(A) $p \neq q$
(B) p<q
(C) p>q
(D) p=q
(A) $p \neq q$
(B) p<q
(C) p>q
(D) p=q
26. The Binomial Distribution n is always a ________ integer
(A) Negative
(B) Positive
(C) Not Positive
(D) Not Negative
(A) Negative
(B) Positive
(C) Not Positive
(D) Not Negative
27.The Poisson Distribution of mean __________
(A) n
(B) $ \lambda$
(C) p
(D) q
29.The Poisson Distribution of variance _________
(A) n
(B) $ \lambda$
(C) p
(D) q
30. The Poisson Distribution of standard deviation __________
(A) n
(B) $ \sqrt{\lambda}$
(C) p
(D) q
(B) $ \sqrt{\lambda}$
(C) p
(D) q
30. The Poisson Distribution of Moment measure of skewness $(\gamma_1) $______
(A) $\sqrt{\lambda}$
(B) $ \frac{1}{\sqrt{\lambda}}$
(C) $\lambda$
(D) $\frac{1}{\lambda} $
(A) $\sqrt{\lambda}$
(B) $ \frac{1}{\sqrt{\lambda}}$
(C) $\lambda$
(D) $\frac{1}{\lambda} $
31.The Poisson Distribution of Moment measure of kurtosis $(\gamma_2)_____
(A) $\sqrt{\lambda}$
(B) $\lambda$
(C) $ \frac{1}{\sqrt{\lambda}}$
(D) $\frac{1}{\lambda} $
32 . The Poisson Distribution of the random variable X should be __________
(A) Discrete
(B) Not Discrete
(C) Continuous
(D) Not Continuous
33. The Binomial Distribution of the random variable X should be __________
(A) Not Discrete
(B) Discrete
(C) Continuous
(D) Not Continuous
(B) Discrete
(C) Continuous
(D) Not Continuous
34. The Binomial Distribution P(x)=_______________
(A) $\frac{e^{-\lambda} \lambda^{x}}{x!} $
(B) ${}^nC_r.P^x.q^{x-r}$
(C) $\frac{X-\mu}{\sigma}$
(D) $\frac{1}{b-a}$
(A) $\frac{e^{-\lambda} \lambda^{x}}{x!} $
(B) ${}^nC_r.P^x.q^{x-r}$
(C) $\frac{X-\mu}{\sigma}$
(D) $\frac{1}{b-a}$
35.The Poisson Distribution P(x)= _____________
(A) ${}^nC_r.P^x.q^{x-r}$
(B) $\frac{e^{-\lambda} \lambda^{x}}{x!} $
(C) $\frac{X-\mu}{\sigma}$
(D) $\frac{1}{b-a}$
(A) ${}^nC_r.P^x.q^{x-r}$
(B) $\frac{e^{-\lambda} \lambda^{x}}{x!} $
(C) $\frac{X-\mu}{\sigma}$
(D) $\frac{1}{b-a}$
36.The Normal Distribution Z= _____________
(A) ${}^nC_r.P^x.q^{x-r}$
(B) $\frac{e^{-\lambda} \lambda^{x}}{x!} $
(C) $\frac{X-\mu}{\sigma}$
(D) $\frac{1}{b-a}$
(A) ${}^nC_r.P^x.q^{x-r}$
(B) $\frac{e^{-\lambda} \lambda^{x}}{x!} $
(C) $\frac{X-\mu}{\sigma}$
(D) $\frac{1}{b-a}$
37. The curve of Normal Distribution has a single peak .it is ___________
(A) kurtosis
(B) skewness
(C) Not uni modal
(D) Uni modal
(A) kurtosis
(B) skewness
(C) Not uni modal
(D) Uni modal
38.The Uniform Distribution P(x)= ____________
(A) ${}^nC_r.P^x.q^{x-r}$
(B) $\frac{1}{b-a}$
(C) $\frac{e^{-\lambda} \lambda^{x}}{x!} $
(D) $\frac{X-\mu}{\sigma}$
(A) ${}^nC_r.P^x.q^{x-r}$
(B) $\frac{1}{b-a}$
(C) $\frac{e^{-\lambda} \lambda^{x}}{x!} $
(D) $\frac{X-\mu}{\sigma}$
39. The Uniform Distribution Mean ______
(A) $\frac{b+a}{2}$
(B) $\frac{b-a}{2}$
(C) b-a
(D) b+a
40. The Uniform Distribution Variance ______________
(A) $\frac{(b+a)^2}{12}$
(B) $\frac{(b-a)^2}{12}$
(C) b-a
(D) b+a
(A) $\frac{(b+a)^2}{12}$
(B) $\frac{(b-a)^2}{12}$
(C) b-a
(D) b+a
41.The normal probability curve X axis is ______to the curve
(A) vertical
(B) asymptote
(C) Not asymptote
(D) Not vertical
(A) vertical
(B) asymptote
(C) Not asymptote
(D) Not vertical
42. The Poisson distribution its arithmetic mean in absolute distribution is _______
(A) n
(B) np
(C) p
(D) npq
43. The Poisson distribution its arithmetic mean in relative distribution is _______
(A) p
(B) np
(C) p
(D) npq
44. The Poisson distribution has ________one parameter
(A) one
(B) two
(C) three
(D) four
(A) one
(B) two
(C) three
(D) four
45. The Binomial coefficient are given by the ___________
(A) Not Pascal's Triangle
(B) uni modal
(C) Not uni modal
(D) Pascal's Triangle
(A) Not Pascal's Triangle
(B) uni modal
(C) Not uni modal
(D) Pascal's Triangle
46. The Normal distribution of two tails of the curve extend indefinitely and never touch the __________ line
(A) not horizontal
(B) Horizontal
(C) asymptotic
(D) vertical
(B) Horizontal
(C) asymptotic
(D) vertical
47. The information collected through censuses and surveys or in a routine manner or other sources is a __________
(A) not data
(B) Data
(C) information
(D) not information
(B) Data
(C) information
(D) not information
48. The data collected by a particular person or organization for his own use from the primary source
(A) secondary data
(B) Primary Data
(C) not primary data
(D) not secondary data
(A) secondary data
(B) Primary Data
(C) not primary data
(D) not secondary data
49. The data collected by some other person or organization for their own use but the investigator also gets it for his use
(A) secondary data
(B) Primary Data
(C) not primary data
(D) not secondary data
(A) secondary data
(B) Primary Data
(C) not primary data
(D) not secondary data
50. A ____ variables x is real valued function defined on a sample space of an experiment
(A) Ranndom
(B) not random
(C) sample space
(D) space
(A) Ranndom
(B) not random
(C) sample space
(D) space
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