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Unformatted text preview: ers are properties of the normal distribution. 40. If the random variable of x is normally distributed, ____% of all possible observed values of x will be within three standard deviations of the mean. A. 68.26 B. 95.44 C. 99.73 D. 100 E. None of the above 41. When a ____________ probability distribution is used to approximate a ________ probability distribution we must make ____________ correction. A. Continuous, discrete, continuity B. Discrete, continuous, continuity C. Continuous, discrete, finite population D. None of the above 1-444 Chapter 01 - An Introduction to Business Statistics 42. A continuous probability distribution that is useful in describing the time or space between successive occurrences of an event is a(n): A. Uniform probability distribution B. Normal probability distribution C. Poisson probability distribution D. Exponential probability distribution 43. The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Exceeds 3 minutes? A. .3012 B. .6988 C. .4346 D. .5654 E. .0821 44. The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Is no more than 3 minutes? A. .3012 B. .6988 C. .4346 D. .5654 E. .0821 45. The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Is between 2 and 4 minutes? A. .2488 B. .4493 C. .2019 D. .2474 E. .1170 1-445 Chapter 01 - An Introduction to Business Statistics 46. The z-value tells us the number of _____ that a value of x is from the mean. A. Variances B. Standard Deviations C. Medians D. Standard Means 47. _____ theory is a methodology that attempts to determine the number of servers that strikes an optimum balance between the time customers wait for service and the cost of providing service. A. Exponential B. Binomial C. Uniform Distribution D. Queueing 48. A probability distribution that describes the time or space between successive occurrences of an event is a(n) _____ probability distribution. A. Binomial B. Uniform C. Exponential D. Normal 49. A continuous probability distribution having a rectangular shape where the probability is evenly distributed over an interval of numbers is a(n) _____ distribution. A. Exponential B. Binomial C. Normal D. Uniform 50. The specific shape of each normal distribution is determined by its _____ and _____. A. Mean, Standard Deviation B. Median, Standard Deviation C. Mean, Variance D. Median, Variance 1-446 Chapter 01 - An Introduction to Business Statistics 51. The number of standard deviations that a value x is from the mean is a(n) _____. A. Variance B. Exponential value C. Z-score D. Area 52. The area under the curve of a valid continuous probability distribution must _____. A. Equal 1 B. Be between 0 and 1 C. Be infinite D. Be less than 1 53. Given that X is a normal random variable, the probability that a given value of X is below its mean is ________________. A. 1 B. equal to 0.5 C. less than 0.5 D. greater than 0.5 54. A normal distribution with mean zero and a standard deviation one is called the _____ normal distribution. A. Continuous B. Uniform C. Exponential D. Standard 55. The thickness of randomly selected metal piece is a ___________ random variable. A. Poisson B. Continuous C. Discrete D. Binomial 1-447 Chapter 01 - An Introduction to Business Statistics 56. __________ values of the standard deviation results in a normal curve that is wider and flatter. A. Smaller B. Equal C. Larger D. Uniform 57. _____________ values of the standard deviation results in a normal curve that is narrower and more peaked. A. Smaller B. Equal C. Larger D. Uniform 58. The mean of a standard normal distribution is always equal to _______. A. 1 B. 0.5 C. 0 D. -1 59. The standard deviation of a standard normal distribution is always equal to _____. A. 1 B. 0.5 C. 0 D. -1 60. For a normal population with a mean of 10 and a variance 4, the P(X ≥ 10) is ___. A. 1.0 B. 0.5 C. 0.75 D. 0.25 1-448 Chapter 01 - An Introduction to Business Statistics 61. If the random variable of x is normally distributed, ____ % of all possible observed values of x will be within two standard deviations of the mean. A. 99.73 B. 68.26 C. 95.00 D. 95.44 62. The time of travel from a person's apartment to the bus station follows a uniform distribution over the interval from 20 to 30 minutes. If he/she leaves home at 9:05 AM, what is the probability that he/she will get to the station between 9:25 and 9:30 AM? A. 1.0 B. 0 C. 0.5 D. 0.25 63. Given the length an athlete throws a hammer is a normal random variable with mean 50 feet and standard deviation 5 feet, what is the probability he throws it: No less than 55 feet? A. .8413 B. .1587 C. .6826 D. .3174 64. Given the length an athlete throws a hammer is a norm...
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