Statistical Inference and Regression Models MCQ part-3

Que.Chebyshev’s inequality states that the probability of a “Six Sigma” event is less than ___________
a. 10%
b. 20%
c. 30%
d. 3%
Que.Which of the following random variables are the default model for random samples?
a. iid
b. id
c. pmd
d. all of the mentioned
Que.Cumulative distribution functions are used to specify the distribution of multivariate random variables.
a. True
b. False
c. May be True or False
d. Can’t say
Que.Point out the correct statement.
a. The exponent of a normally distributed random variables follows what is called the log-normal distribution
b. Sums of normally distributed random variables are again normally distributed even if the variables are dependent
c. The square of a standard normal random variable follows what is called chi-squared distribution
d. All of the mentioned
Que.Which of the following is incorrect with respect to use of Poisson distribution?
a. Modeling event/time data
b. Modeling bounded count data
c. Modeling contingency tables
d. All of the mentioned
Que.__________ random variables are used to model rates.
a. Empirical
b. Binomial
c. Poisson
d. All of the mentioned
Que.Point out the wrong statement.
a. The normal distribution is asymmetric and peaked about its mode
b. A constant times a normally distributed random variable is also normally distributed
c. Sample means of normally distributed random variables are again normally distributed
d. None of the mentioned
Que.Which of the following form the basis for frequency interpretation of probabilities?
a. Asymptotics
b. Symptotics
c. Asymmetry
d. All of the mentioned
Que.Bernoulli random variables take (only) the values 1 and 0.
a. True
b. False
c. May be True or False
d. Can’t say
Que.The _________ basically states that the sample mean is consistent.
a. LAN
b. LLN
c. LWN
d. None of the mentioned

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