Important MCQs Probability Distributions Quiz 5

This Quiz contains MCQs Probability Distributions Quiz. It covers events, experiments, mutually exclusive events, collectively exhaustive events, sure events, impossible events, addition and multiplication laws of probability, concepts related to discrete and continuous random variables, probability distribution and probability density functions, characteristics and properties of probability distributions, discrete probability distribution, and continuous probability distributions, etc.

Online MCQs about Probability Distributions with Answers

1. If $X$ follows Goemtric distribution with parameter $p$ (probability of success) then the Mean of $X$ is

 
 
 
 

2. Themean of the Poisson distribution is 9 then its standard deviation is

 
 
 
 

3. In any normal distribution, the proportion of observations that are outside $\pm$ standard deviation of the mean is closest to

 
 
 
 

4. The formula of mean of uniform or rectangular distribution is as

 
 
 
 

5. A random variable $X$ has a binomial distribution with $n=9$, the variance of $X$ is

 
 
 
 

6. In binomial probability distribution, the formula of calculating standard deviation is

 
 
 
 

7. The distribution of square of standard normal random variable will be

 
 
 
 

8. For Beta distribution of 2nd kind, the range of $X$ is

 
 
 
 

9. The parameters of hypergeometric distributions are

Note that $N$ is population size, $n$ is sample size, $p$ is the probability of successes, $K$ is number of successes stated in the populaiton, $k$ is the number of observed successes.

 
 
 
 

10. For beta distribution of 1st kind, the range of $X$ is

 
 
 
 

11. In binomial probability distributions, the dependents of standard deviations must includes

 
 
 
 

12. Which of the distribution have larger variance than it s mean

 
 
 
 

13. The mean deviation of a normal distribution is

 
 
 
 

14. In normal distribution, the proportion of observations that lies between 1 standard deviations of the mean is closest to

 
 
 
 

15. An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. The company is interested to find the probaiblity that the first strike comes on the third well drilled. Which distribution distribution will be used?

 
 
 
 

16. If $N$ is population size, $n$ is the sample size, $p$ is probability of success, $K$ is number of successes stated in population, $k$ is the number of observed successes, then the parameters of binomial distribution are

 
 
 
 

17. The normal distribution is also classified as

 
 
 
 

18. The Chi-Square distribution is a special case of

 
 
 
 

19. When can we use a normal distribution to approximate a binomial distribution?

 
 
 
 

20. An oil company conducts a geological study that indicates that an exploratory oil well should have a 0.25 probability of striking oil. The company is interested to find the probability that the 3rd strik comes on the 6th well drilled. Which distribution will be used?

 
 
 
 


Probability distributions are the foundation for various statistical tests like hypothesis testing. By comparing observed data to a theoretical distribution (the null hypothesis), we can assess the likelihood that the data arose by chance.

Probability distributions are crucial tools in data analysis. They help identify patterns, outliers, and relationships between variables. Furthermore, many statistical models depend on specific probability distributions to function accurately.

Probability Distributions

Online MCQs Probability Distributions Quiz

  • In binomial probability distributions, the dependents of standard deviations must includes
  • In binomial probability distribution, the formula of calculating standard deviation is
  • The formula of mean of uniform or rectangular distribution is as
  • The normal distribution is also classified as
  • The mean deviation of a normal distribution is
  • The Chi-Square distribution is a special case of
  • Which of the distribution have larger variance than it s mean
  • For Beta distribution of 2nd kind, the range of $X$ is
  • Themean of the Poisson distribution is 9 then its standard deviation is
  • In normal distribution, the proportion of observations that lies between 1 standard deviations of the mean is closest to
  • For beta distribution of 1st kind, the range of $X$ is
  • The parameters of hypergeometric distributions are Note that $N$ is population size, $n$ is sample size, $p$ is the probability of successes, $K$ is number of successes stated in the populaiton, $k$ is the number of observed successes.
  • If $N$ is population size, $n$ is the sample size, $p$ is probability of success, $K$ is number of successes stated in population, $k$ is the number of observed successes, then the parameters of binomial distribution are
  • An oil company conducts a geological study that indicates that an exploratory oil well should have a 0.25 probability of striking oil. The company is interested to find the probability that the 3rd strik comes on the 6th well drilled. Which distribution will be used?
  • If $X$ follows Goemtric distribution with parameter $p$ (probability of success) then the Mean of $X$ is
  • The distribution of square of standard normal random variable will be
  • A random variable $X$ has a binomial distribution with $n=9$, the variance of $X$ is
  • In any normal distribution, the proportion of observations that are outside $\pm$ standard deviation of the mean is closest to
  • When can we use a normal distribution to approximate a binomial distribution?
  • An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. The company is interested to find the probaiblity that the first strike comes on the third well drilled. Which distribution distribution will be used?
Probability distributions Quiz

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