Test your knowledge of probability distributions with this comprehensive Probability Distribution Quiz! Covering exponential, normal, gamma, binomial, and chi-square distributions, this quiz is perfect for students, researchers, statisticians, and data analysts preparing for exams or interviews. Practice key concepts like mean, variance, Z-scores, kurtosis, and distribution properties to strengthen your statistical skills. Let us start with the online Probability Distribution Quiz now.
Online Probability Distribution Quiz with Answers
Online Probability Distribution Quiz with Answers
- If the mean of the exponential distribution is 2, then its variance is
- If the mean of the exponential distribution is 2, then the sum of 10 such independent variates will follow a gamma distribution with mean
- If the mean of the exponential distribution is 2, then the sum of 10 such independent variates will follow a gamma distribution with variance
- Which of the following is not a characteristic of a normal distribution?
- The total area under a normal distribution curve to the left of the mean is always
- The tails of the normal distribution
- For a normal distribution, the mean is 40 and the standard deviation is 8. The value of $Z$ for $X=52$ is
- What is the area under a conditional Cumulative Density Function?
- The mineral content of a particular brand of supplement pills is normally distributed, with a mean of 490 mg and a variance of 400. What is the probability that a randomly selected pill contains at least 500 mg of minerals?
- If the $Z$ (standard variable) score of a value is 1.5, it means the value is
- If the shape of the data is leptokurtic, then it must be
- A flat peak symmetrical curve is called —————-.
- Another name for the bell-shaped normal curve is ——————.
- A variable whose mean is zero and variance is one is called
- If the shape of the data is bell-shaped normal, which of the following statements must be true
- If a random variable $Y$ is distributed as normal with mean 0 and variance equal to 1, then $Y^2$ will be distributed as
- If $X$ and $Y$ are two independently distributed standard normal variables, then $X^2+Y^2$ will be distributed as ————–.
- If $X$ and $Y$ are two independently distributed standard normal variables, then $\frac{X^2}{Y^2}$ will be distributed as —————-.
- The sum of squares of a sequence of independent normal variates with mean $\mu$ and variance $\sigma^2$ is said to be
- In a binomial distribution, if $p$, $q$, and $n$ are the probability of success, failure, and number of trials, respectively, then the variance is given by
