Page 251 - Probability Demystified
P. 251

240                                                             FINAL EXAM

                                    46. The scores on a national achievement test are approximately nor-
                                        mally distributed with a mean of 120 and a standard deviation of
                                        10. The probability that a randomly selected student scores between
                                        100 and 130 is

                                        a. 68.2%
                                        b. 34.1%
                                        c. 48.8%
                                        d. 81.8%

                                    47. The heights of a group of adult males are approximately distributed
                                        with a mean of 70 inches and a standard deviation of 2 inches. The
                                        probability that a randomly selected male from the group is between
                                        68 and 72 inches is
                                        a. 34.1%
                                        b. 68.2%
                                        c. 81.8%
                                        d. 95.4%
                                    48. The average time it takes an express bus to reach its destination is
                                        32 minutes with a standard deviation of 3 minutes. Assume the vari-
                                        able is normally distributed. The probability that it will take the bus
                                        between 30.5 minutes and 33.5 minutes to arrive at its destination is

                                        a. 38.3%
                                        b. 93.3%
                                        c. 34.1%
                                        d. 6.7%
                                    49. The average time it takes pain medicine to relieve pain is 18 minutes.
                                        The standard deviation is 4 minutes. The variable is approximately
                                        normally distributed. If a randomly selected person takes the medica-
                                        tion, the probability that the person experiences pain relief within
                                        25.2 minutes is

                                        a. 50%
                                        b. 68.3%
                                        c. 75.2%
                                        d. 96.4%
   246   247   248   249   250   251   252   253   254   255   256