Muhammad Imdad Ullah

The post is about MCQs Probability Distributions. There are 20 multiple-choice questions covering the topics related to Chi-Square distribution, F-distribution, Binomial distribution, Student’s t distribution, and properties of distributions. Let us start with MCQs Probability Distributions.

Online MCQs Probability Distributions with Answers

1. The formula to calculate standardized normal random variables is

 $\frac{x-\sigma}{\mu}$

 $\frac{x+\sigma}{\mu}$

 $\frac{x+\mu}{\sigma}$

 $\frac{x-\mu}{\sigma}$

2. The chi-square distribution is used for the test of

 Hypothetical Value of Population Variance

 Goodness of Fit

 Neither (A) nor (B)

 Both (A) and (B)

3. The relation between the mean and variance of $\chi^2$ with $n$ degrees of freedom is

 Mean=Variance

 Mean = 2Variance

 2Mean=Variance

 None of the Above

4. A family of parametric distribution in which mean always greater than its variance is:

 Geometric Distribution

 Binomial Distribution

 Binomial in all cases and Geometric when $p>0.5$

 Binomial in all cases and Geometric when $p<0.5$

5. The shape of geometric distribution is

 Not Exists

 Symmetrical

 Positive Skewed

 Negative Skewed

6. If $X\sim N(\mu, \sigma^2)$ and $a$ and $b$ are real numbers, then mean of $(aX+b)$ is

 $ a+b $

 $ a+b\mu $

 $ a\mu $

 $ a\mu+b $

7. If $X$ has a binomial distribution with parameter $p$ and $n$ then $\frac{X}{n}$ has the variance:

 $ \frac{pq}{n^2} $

 $ npq $

 $ \frac{pq}{n} $

 $ n^2pq $

8. The $F$-distribution curve in respect of tails is:

 Negative Skewed

 Symmetrical

 All of the Above

 Positive Skewed

9. In binomial distribution, the formula for calculating the mean is

 

 $\mu = pq$

 $\mu = p + q$

 $\mu = np$

 $\mu = qn$

10. In binomial probability distribution, dependents of standard deviations must include

 Probability of $p$

 All of these options

 Trials

 Probability of $q$

11. The probability of failure in binomial distribution is denoted by

 $p = q +1$

 $q = 1 + p$

 $q = 1 – p$

 $p = q – 1$

12. The family of parametric distributions for which moment generating function does not exist is:

 All of the Above

 Pareto Distribution

 Student $ t $-Distribution

 $ F $-Distribution

13. The binomial distribution is symmetrical if $p=p=?$

 1/4

 2

 1

 1/2

14. The family of parametric distributions which has a mean always less than variance is:

 Log-Normal Distribution

 Negative Binomial Distribution

 Weibull Distribution

 Beta Distribution

15. The mean of a binomial probability distribution is 857.6 and the probability is 64% then the number of values of binomial distribution

 1040

 1240

 1140

 1340

16. The distribution of sample correlation is

 Chi-Square

 Normal

 $ t $

 $ F $

17. The distribution for which the mode does not exist is:

 $ t $-Distribution

 Normal Distribution

 $ F $-Distribution

 Continuous Rectangular Distribution

18. Events having an equal chance of occurrence are called

 Mutually Exclusive Events

 Independent Events

 Equally Likely Events

 Exhaustive Events

19. Student’s $t$-distribution curve is symmetrical about mean, it means that

 Odd Order Moments are Zero

 Even Order Moments are Zero

 Both (A) and (B)

 None of (A) and (B)

20. The distribution possessing the memoryless property is

 All of the Above

 Geometric Distribution

 Gamma Distribution

 Hypergeometric Distribution

 Loading …

MCQs Probability Distributions Quiz

• A family of parametric distribution in which mean always greater than its variance is:
• The family of parametric distributions which has a mean always less than variance is:
• The family of parametric distributions for which moment generating function does not exist is:
• The distribution for which the mode does not exist is:
• The relation between the mean and variance of $\chi^2$ with $n$ degrees of freedom is
• The $F$-distribution curve in respect of tails is:
• If $X$ has a binomial distribution with parameter $p$ and $n$ then $\frac{X}{n}$ has the variance:
• The binomial distribution is symmetrical if $p=p=?$
• The shape of geometric distribution is
• If $X\sim N(\mu, \sigma^2)$ and $a$ and $b$ are real numbers, then mean of $(aX+b)$ is
• The distribution of sample correlation is
• Events having an equal chance of occurrence are called
• Student’s $t$-distribution curve is symmetrical about mean, it means that
• The distribution possessing the memoryless property is
• The chi-square distribution is used for the test of
• The probability of failure in binomial distribution is denoted by
• In binomial distribution, the formula for calculating the mean is  
• In binomial probability distribution, dependents of standard deviations must include
• The formula to calculate standardized normal random variables is
• The mean of a binomial probability distribution is 857.6 and the probability is 64% then the number of values of binomial distribution

https://gmstat.com

https://rfaqs.com

The post is about Probability Distribution Questions. There are 20 multiple-choice questions covering topics related to normal probability distribution, standard normal probability distribution, and its properties. Let us start with the Quiz Probability Distribution Questions.

Please go to Best Probability Distribution Questions 3 to view the test

Probability Distribution Questions with Answers

• The area under the normal curve on either side of the mean is
• In the case of a symmetrical distribution
• The mean deviation of Normal Distribution is
• The Normal Distribution has parameters
• In Normal distribution, the parameters which control the flatness of the curve is
• We use normal distribution when $n$ is
• The median of the normal distribution corresponds to the value of $Z$ equal to
• The lower and upper quartiles of standard normal variate are respectively
• The shape of the normal curve can be related to
• The total Area under the normal curve is
• Which of the following parameters controls the relative flatness of a normal distribution
• In a normal distribution $E(X−\mu)^2$ is
• If $X\sim N(55,49)$ then $\sigma$
• The Normal Curve is asymptotic to the
• The shape of the normal curve depends upon
• If $X\sim N(16, 49)$, then mean is
• Normal Distribution is
• If $Y=5X + 10$ and $X$ is $N(10,25)$, then mean of $Y$ is
• Normal Distribution is
• The formula in which binomial distribution approaches normal probability distribution with the help of normal variable is written as

https://itfeature.com

https://rfaqs.com

https://gmstat.com

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.

Please go to Important MCQs Continuous Probability Distribution Quiz 2 to view the test

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:

https://gmstat.com

https://rfaqs.com