This Section contains Multiple Choice Questions MCQs on Probability and probability distribution, Correlation Analysis, Simple Regression Analysis, Multiple Regression Analysis, Coefficient of Determination (Explained Variation), Unexplained Variation, Model Selection Criteria, Model Assumptions, Interpretation of results, Intercept, Slope, Partial Correlation, Significance tests, OLS Assumptions, Multicollinearity, Heteroscedasticity, Autocorrelation etc. Lets start

**MCQS Probability Distribution**

**Q1:** Binomial distribution has parameters

A) Three

B) Two

C) One

D) Four

E) None

**Q2:** In a binomial probability distribution it is impossible to find

A) $P(X<0)$

B) $P(X=0)$

C) $P(X>0)$

D) $P(0 \le X \le n)$

**Q3:** 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

E) 0

**Q4:** Each trial in Binomial distribution has

A) One Outcome

B) Two Outcome

C) Three Outcome

D) Four Outcome

**Q5:** Binomial distribution is negatively skewed when

A) $p=0$

B) $p>1/2$

C) $p<1/2$

D) $p=-1/2$

E) $p=1/3$

**Q6:** In binomial distribution n=6 and p=0.9, then the value of P(X=7) is

A) One

B) Less than zero

C) Zero

D) More than zero

**Q7:** Binomial distribution is symmetrical when

A) $p=q$

B) $p>q$

D) $p<q$

D) $np>npq$

**Q8:** In which distribution successive trials are without replacement

A) Hypergeometric Distribution

B) Binomial Distribution

C) Poisson Distribution

D) Geometric Distribution

**Q9:** In hypergeometric distribution, the trials are

A) Independent

B) Dependent

C) Collectively Exhaustive

D) None

**Q10:** The probability of success changes from trial to trial in

A) Binomial Distribution

B) Geometric Distribution

C) Sampling Distribution

D) Hypergeometric Distribution

**Q11:** The mean of hypergeometric distribution is

A) $\frac{nk}{N}$

B) $\frac{N-k}{n}$

C) $\frac{nN}{k}$

D) $\frac{n+k}{N}$

**Q12:** Which of the following is not the property of binomial distribution

A) n is fixed

B) has two outcomes

C) Trials are independent

D) Probability of success varies from trial to trial

**Q13:** Successive trials in binomial distribution are

A) Dependent

B) Independent

C) Equally Likely

D) Mutually Exclusive

E) None

**Q14:** The mean, median and mode for binomial distribution will be equal when

A) $p=0.5$

B) $p<0.5$

C) $p>0.5$

D) $p=1$

E) None of these

**Q15:** A random variable X has binomial distribution with n = 10 and p = 0.3 then variance of X is

A) 10

B) 12

C) 2.1

D) 21

E) None

**Q16:** If in a binomial distribution n = 1 then E(X) is

A) q

B) p

C) 0

D) 1

E) None

**Q17:** The variance of binomial distribution is always

A) Less than mean

B) Equal to mean

C) Greater than mean

D) Equal to standard deviation

E) None of these

**Q18:** The successive trials are with replacement in

A) Hypergeometric distribution

B) Binomial distribution

C) Geometric distribution

D) None of these

**Q19:** The mean of binomial distribution is

A) npq

B) np

C) $\sqrt{npq}$

D) $\sqrt{np}$

E) $\sqrt{nq}$

**Q20:** Hypergeometric distribution has parameters

A) 2

B) 1

C) 3

D) 4

5) No

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## MCQs on Discrete Probability Distributions II

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dear imdadullah

this was a very good effort from your side

it is very helpful for students of statistics

good luck

Regards

Hafiz Kashif

SKANS Multan

Thanks for liking and appreciation of my effort.

good mcqs