Muhammad Imdad Ullah

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.

MCQs about Probability Distributions with Answers

1. If $X\sim N(55,49)$ then $\sigma$

 49

 7

 104

 55

2. The lower and upper quartiles of standard normal variate are respectively

 $ -0.7979 $ and $ 0.7979 $

 $ \mu+0.6745 \sigma $ and $ \mu-0.6745\sigma $

 $ −0.7979\sigma $ and $ 0.7979\sigma $

 $ -0.6745 $ and $ 0.6745 $

3. The shape of the normal curve depends upon

 Mean Deviation

 Mean

 Quartile Deviation

 Standard Deviation

4. The shape of the normal curve can be related to

 Circle

 J

 Rectangle

 Bell

5. Normal Distribution is

 Mesokurtic

 None of these

 PLatykurtic

 Leptokurtic

6. The Normal Curve is asymptotic to the

 Y-axis

 X-axis

 None of these

 Along with $Y=X$

7. Which of the following parameters controls the relative flatness of a normal distribution

 Mean

 None of these

 Standard Deviation

 Mode

8. The total Area under the normal curve is

 1

 Greater than 1

 0

 Less than 1

9. If $Y=5X + 10$ and $X$ is $N(10,25)$, then mean of $Y$ is

 135

 50

 70

 60

10. In a normal distribution $E(X−\mu)^2$ is

 Quantile Deviation

 Standard Deviation

 Mean Deviation

 Variance

11. In Normal distribution, the parameters which control the flatness of the curve is

 $ \sqrt{2\pi}, e $

 None of these

 $ \mu, MD $

 $ \mu, \sigma $

12. The median of the normal distribution corresponds to the value of $Z$ equal to

 $ \mu $

 $ 1 $

 $ 0.5 $

 $ 0 $

13. Normal Distribution is

 Bi-Modal

 Uni Modal

 Have no Mode

 Multi-Modal

14. The mean deviation of Normal Distribution is

 $ \frac{7}{8}\sigma $

 $ \frac{4}{5}\sigma $

 $ \frac{3}{4}\sigma $

 $ \frac{2}{3}\sigma $

15. The formula in which binomial distribution approaches normal probability distribution with the help of normal variable is written as

 $x – qn$ divided by square root of $pq$

 $x – pq$ divided by square root of $npq$

 $x + np$ divided by square root of $np$

 $x – np$ divided by square root of $npq$

16. We use normal distribution when $n$ is

 Small

 Fixed

 Large

 None of these

17. The area under the normal curve on either side of the mean is

 0.5

 2

 $-1$

 Mean value

18. If $X\sim N(16, 49)$, then mean is

 7

 4

 49

 16

19. The Normal Distribution has parameters

 4

 3

 1

 2

20. In the case of a symmetrical distribution

 Mean=Mode=Median

 $ \mu_3=\mu_4 $

 $ \beta_1=\beta_4 $

 $ \mu_1=\mu_2 $

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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

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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.

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:

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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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