Chapter 5 Review Questions

Chapter 5 Review Questions - Chapter 5 Continuous Random...

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Chapter 5 Continuous Random Variables True/False 1. A uniform distribution f(x) is a continuous probability distribution which says the probability that x is in any 2 intervals of equal length is the same. Answer: True Difficulty: Medium 2. The mean and median are the same for a normal distribution. Answer: True Difficulty: Easy 3. The mean and median are the same for an exponential distribution. Answer: False Difficulty: Easy 4. In a statistical study, the random variable X = 1, if the house is colonial, and X = 0 if the house is not colonial, then it can be stated that the random variable is continuous. Answer: False Difficulty: Easy 5. The actual weight of hamburger patties is an example of a continuous random variable. Answer: True Difficulty: Medium 6. The number of defective pencils in a lot of 1000 is an example of a continuous random variable. Answer: False Difficulty: Medium 7. For a continuous distribution, P(X 100) = P(X < 100). Answer: True Difficulty: Medium (REF) 8. All continuous random variables are normally distributed. Answer: False Difficulty: Medium (REF) 9. For a continuous distribution, the exact probability of a particular value is zero. Answer: True Difficulty: Medium

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10. The height of a probability curve f(x) at a particular point indicates the value of a probability for a given value of a random variable x. Answer: False Difficulty: Easy (REF) 11. A continuous probability distribution having a rectangular shape where the probability is evenly distributed over an interval of numbers is called a uniform probability distribution. Answer: True Difficulty: Medium 12. The exponential probability distribution is based on a continuous random variable. Answer: True Difficulty: Easy 13. The mean of a standard normal distribution is always equal to 1. Answer: False Difficulty: Easy 14. The standard deviation of a standard normal distribution is always equal to 1. Answer: True Difficulty: Easy 15. The normal probability distribution is a discrete probability distribution. Answer: False Difficulty: Easy (REF) 16. A continuous random variable may assume only integer values in a given interval. Answer: False Difficulty: Easy 17. The z value tells us the number standard deviations that a value x is from the mean. Answer: True Difficulty: Easy 18. If the random variable of x is normally distributed, 68.26% of all possible observed values of x will be within two standard deviations of the mean. Answer: False Difficulty: Easy 19. For a binomial probability experiment, with n = 150 and p = .2, it is appropriate to use the normal approximation to the binomial distribution. Answer: True Difficulty: Medium

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