MCQs Probability Distributions Quiz 5

This Quiz contains the 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. When can we use a normal distribution to approximate a binomial distribution?

 
 
 
 

2. 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 in finding the probability that the 3rd strike comes on the 6th well drilled. Which distribution will be used?

 
 
 
 

3. The formula of the mean of uniform or rectangular distribution is as

 
 
 
 

4. The normal distribution is also classified as

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

8. Which of the distributions has a larger variance than its mean

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

14. 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 in finding the probability that the first strike comes on the third well drilled. Which distribution distribution will be used?

 
 
 
 

15. In binomial probability distribution, the formula for calculating standard deviation is

 
 
 
 

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

 
 
 
 

17. The mean deviation of a normal distribution is

 
 
 
 

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

 
 
 
 

19. The parameters of hypergeometric distributions are Note that $N$ is the population size, $n$ is the sample size, $p$ is the probability of successes, $K$ is a number of successes stated in the population, $k$ is the number of observed successes.

 
 
 
 

20. In binomial probability distributions, the dependents of standard deviations must include

 
 
 
 

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 include
  • In binomial probability distribution, the formula for calculating standard deviation is
  • The formula of the 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 distributions has a larger variance than its mean
  • For Beta distribution of 2nd kind, the range of $X$ is
  • The mean of the Poisson distribution is 9 then its standard deviation is
  • In normal distribution, the proportion of observations that lies between 1 standard deviation 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 the population size, $n$ is the sample size, $p$ is the probability of successes, $K$ is a number of successes stated in the population, $k$ is the number of observed successes.
  • If $N$ is the population size, $n$ is the sample size, $p$ is the probability of success, $K$ is the number of successes stated in the population, and $k$ is the number of observed successes, then the parameters of the 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 in finding the probability that the 3rd strike comes on the 6th well drilled. Which distribution will be used?
  • If $X$ follows Geometric distribution with parameter $p$ (probability of success) then the Mean of $X$ is
  • The distribution of the square of the 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 in finding the probability that the first strike comes on the third well drilled. Which distribution distribution will be used?
Probability distributions Quiz

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