Probability Distributions

Introduction to Probability Distributions, Discrete Probability, Continuous Probability, Distribution Functions, Density Functions, Real life Examples of Probability Distributions

Important MCQs Continuous Probability Distribution Quiz 2

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The post is about Continuous Probability Distribution Quiz. There are 20 multiple-choice questions. The quiz covers topics related to the distribution function, area under the curve, density function, binomial, geometric, and poison probability discrete distribution. Let us start with MCQs Continuous Probability Distribution Quiz.

Online MCQs probability and probability distributions

1. The Poisson distribution can model which of the following kinds of data? Select all that apply.

 
 
 
 

2. The binomial distribution is skewed right when

 
 
 
 

3. The central limit theorem states that the sampling distribution of the mean approaches a _____ distribution as the sample size increase.

 
 
 
 

4. The probability function is always

 
 
 
 

5. What probability distribution represents experiments with repeated trials that each have two possible outcomes: success or failure?

 
 
 
 

6. The Poisson distribution can model the probability that a certain number of events will occur during a specific time period.

 
 

7. The distribution function $F(X)$ is represented by

 
 
 
 

8. The probability distribution of a random variable is also known as

 
 
 
 
 

9. A continuous probability distribution can be represented by

 
 
 
 

10. At what sample size does the t-distribution become practically the same as the normal distribution?

 
 
 
 

11. A discrete probability distribution may be represented by

 
 
 
 

12. The total Area under the curve in the probability of density function is

 
 
 
 

13. What shape is the graph of the t-distribution?

 
 
 
 

14. The binomial distribution models the probability of events with _____ possible outcomes.

 
 
 
 

15. The mode of the geometric distribution is:

 
 
 
 

16. For distribution Function $F(X)$, $F(−\infty)=0$ and $F(\infty) = ?$

 
 
 
 

17. If $X$ has a normal distribution with mean $\mu$ and variance $\sigma^2$, then $y=\frac{(X-\mu)^2}{\sigma^2}$

 
 
 
 

18. A discrete probability distribution may be represented by

 
 
 
 

19. For a probability density function (PDF), the probability of a single point is

 
 
 
 

20. In what case would the Poisson distribution be a good approximation of the binomial distribution:

 
 
 
 

MCQs Continuous Probability Distribution Quiz

MCQs continuous Probability Distribution Quiz with Answers
  • A discrete probability distribution may be represented by
  • The total Area under the curve in the probability of density function is
  • The distribution function $F(X)$ is represented by
  • The probability function is always
  • For distribution Function $F(X)$, $F(−\infty)=0$ and $F(\infty) = ?$
  • For a probability density function (PDF), the probability of a single point is
  • The probability distribution of a random variable is also known as
  • A continuous probability distribution can be represented by
  • A discrete probability distribution may be represented by
  • The central limit theorem states that the sampling distribution of the mean approaches a ——— distribution as the sample size increase.
  • The Poisson distribution can model which of the following kinds of data? Select all that apply.
  • The binomial distribution models the probability of events with ——— possible outcomes.
  • The Poisson distribution can model the probability that a certain number of events will occur during a specific time period.
  • What probability distribution represents experiments with repeated trials that each have two possible outcomes: success or failure?
  • At what sample size does the t-distribution become practically the same as the normal distribution?
  • What shape is the graph of the t-distribution?
  • If $X$ has a normal distribution with mean $\mu$ and variance $\sigma^2$, then $y=\frac{(X-\mu)^2}{\sigma^2}$
  • The binomial distribution is skewed right when
  • In what case would the Poisson distribution be a good approximation of the binomial distribution:
  • The mode of the geometric distribution is:
MCQs Continuous Probability Distribution Quiz with Answers

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Important MCQs Discrete Probability Distribution Quiz 1

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The post is about MCQs Discrete Probability Distribution. There are 20 multiple-choice questions. The quiz covers topics related to the basics of probability distribution, binomial probability distribution, hypergeometric probability distribution, and properties of probability distribution. Let us start with the MCQs Discrete Probability Distribution Quiz.

Please go to Important MCQs Discrete Probability Distribution Quiz 1 to view the test

MCQs Discrete Probability Distribution with Answers

MCQs Discrete Probability Distribution with Answers
  • Binomial distribution has parameters
  • In a binomial probability distribution, it is impossible to find
  • A fair coin is tossed four times, the probability of getting four heads is
  • Each trial in Binomial distribution has
  • The binomial distribution is negatively skewed when
  • In binomial distribution $n=6$ and $p=0.9$, then the value of $P(X=7)$ is
  • The binomial distribution is symmetrical when
  • In which distribution successive trials are without replacement
  • In hypergeometric distribution, the trials are
  • The probability of success changes from trial to trial in
  • The mean of the hypergeometric distribution is
  • Which of the following is not the property of binomial distribution
  • Successive trials in binomial distribution are
  • The mean, median, and mode for binomial distribution will be equal when
  • A random variable $X$ has binomial distribution with $n = 10$ and $p = 0.3$ then variance of $X$ is
  • If in a binomial distribution $n = 1$ then $E(X)$ is
  • The variance of the binomial distribution is always
  • The successive trials are with replacement in
  • The mean of the binomial distribution is
  • Hypergeometric distribution has parameters
MCQs probability distributions

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MCQs Probability Distributions Quiz 5

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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.

Please go to MCQs Probability Distributions Quiz 5 to view the test

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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