Probability Distributions

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. A discrete probability distribution may be represented by

 All of these correct

 Table

 Graph

 Mathematical equations

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

 Probability Distribution

 Probability Function

 Probability

 Distribution Function

 Probability Density Function

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

 Infinity

 $ -1 $

 1

 0

4. The binomial distribution is skewed right when

 Cannot be right skewed

 $p< q$

 $p=q$

 $p>q$

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

 $n = 40, q = 0.79$

 $n = 40, p= 0.32$

 $n = 200, q = 0.98$

 $n = 10, p = 0.03$

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

 The number of customers per week at a retail store.

 The number of visitors per day on a website.

 The number of calls per hour at a call center.

 The number of heads in 10 fair coin tosses.

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

 30

 10

 1

 5

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

 Four

 Two

 Five

 Three

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

 Binomial

 Poisson

 Bernoulli

 Normal

10. The probability function is always

 Infinity

 Non-Negative

 Negative

 None of these

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

 The Poisson distribution.

 The trinomial distribution.

 The binomial distribution.

 The normal distribution.

12. The mode of the geometric distribution is:

 3

 1

 2

 Undefined

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

 Rayleigh Distribution

 Exponential Distribution

 Chi-Square Distribution with the one degree of freedom

 Weibull Distribution

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

 False

 True

15. A continuous probability distribution can be represented by

 Table

 None of these options

 Graph

 Constant

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

 $ P(X=x) $

 $ P(X) $

 $ P(X \le x) $

 $ P(X>x) $

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

 $ -1 $

 $ 0 $

 None of these

 $ 1 $

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

 Circular shape

 Square shape

 Bell shape

 Rectangular shape

19. A discrete probability distribution may be represented by

 A table

 A Mathematical Equation

 All of these

 A graph

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

 Constant

 2

 1

 0

 Loading …

MCQs Continuous Probability Distribution Quiz

• 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:

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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

• 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

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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.

Please go to Important 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.

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?

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