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E Question Help State police believe that 80% of the drivers traveling on a majo

ID: 3225234 • Letter: E

Question

E Question Help State police believe that 80% of the drivers traveling on a major interstate highway exceed the speed limit. They plan to set up a radar trap and check the speeds of the first 60 cars which pass the trap. Answer the following questions a) sing the 68-95-99.7 rule, draw and label the distribution of the proportion of these cars the police will observe speeding. Which graph shows the distribution of the proportion with the intervals for 68%, 95%, and 99.7%? O A. O B. O C. O D. 0.6 0.8 0.6 0.8 0.2 0.4 0.2 0.4

Explanation / Answer

Part a)

Mean = 0.80

Standard deviation = sqrt ((PQ)/n)

                                   = sqrt ((0.8*0.2)/60

                                   = 0.0516

Mean – 3*Standard deviations = 0.8 – (3*0.0516)

                                                        = 0.8 – 0.2

                                                        = 0.6

Mean + 3* Standard deviations = 0.8 + (3*0.0516)

                                                           = 1

Answer: O A

Part b)

Answer: O A