1. True or False: A discrete probability distribution lists all possible outcomes and their corresponding probabilities.
2. True or False: The sum of probabilities in a discrete probability distribution must equal 1.
3. True or False: The binomial distribution is used to model the number of successes in a fixed number of trials.
4. True or False: The Poisson distribution is used to model the number of events occurring in a fixed interval of time or space.
5. True or False: The hypergeometric distribution is used when sampling without replacement from a finite population.
6. True or False: A continuous probability distribution is represented by a probability density function.
7. True or False: The total area under a probability density function is always equal to 1.
8. True or False: The normal distribution is a symmetrical bell-shaped curve.
9. True or False: The uniform distribution is a rectangular shape.
10. True or False: The exponential distribution is used to model the time between events.
11. True or False: The mean of a probability distribution is also known as the expected value.
12. True or False: The variance measures the spread of a probability distribution.
13. True or False: The standard deviation is the square root of the variance.
14. True or False: The coefficient of variation is the ratio of the standard deviation to the mean.
15. True or False: The skewness of a distribution measures its asymmetry.
16. True or False: The binomial distribution is used in quality control to model the number of defective items in a sample.
17. True or False: The Poisson distribution is used in queuing theory to model the number of customers arriving at a service facility.
18. True or False:The normal distribution is used in many areas of statistics, including hypothesis testing and confidence intervals.
19. True or False: The uniform distribution is used to model random numbers.
20. True or False: The exponential distribution is used in reliability engineering to model the time to failure of a component.