Important MCQs Continuous Probability Distribution Quiz 2

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. 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

 Weibull Distribution

 Chi-Square Distribution with the one degree of freedom

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

 The number of calls per hour at a call center.

 The number of heads in 10 fair coin tosses.

 The number of visitors per day on a website.

 The number of customers per week at a retail store.

3. The binomial distribution is skewed right when

 $p< q$

 Cannot be right skewed

 $p=q$

 $p>q$

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

 30

 1

 10

 5

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

 Square shape

 Circular shape

 Bell shape

 Rectangular shape

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

 Five

 Three

 Two

 Four

7. The probability function is always

 Negative

 None of these

 Infinity

 Non-Negative

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

 $n = 10, p = 0.03$

 $n = 40, q = 0.79$

 $n = 40, p= 0.32$

 $n = 200, q = 0.98$

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

 0

 1

 2

 Constant

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

 False

 True

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

 The normal distribution.

 The trinomial distribution.

 The binomial distribution.

 The Poisson distribution.

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

 $ 1 $

 None of these

 $ -1 $

 $ 0 $

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

 0

 Infinity

 1

 $ -1 $

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

 Bernoulli

 Binomial

 Poisson

 Normal

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

 Probability Density Function

 Probability Function

 Probability

 Distribution Function

 Probability Distribution

16. A discrete probability distribution may be represented by

 Mathematical equations

 Graph

 All of these correct

 Table

17. A discrete probability distribution may be represented by

 All of these

 A graph

 A Mathematical Equation

 A table

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

 $ P(X>x) $

 $ P(X \le x) $

 $ P(X) $

 $ P(X=x) $

19. The mode of the geometric distribution is:

 Undefined

 3

 1

 2

20. A continuous probability distribution can be represented by

 None of these options

 Graph

 Table

 Constant

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MCQs Continuous Probability Distribution Quiz

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• 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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