0 Question 7 v 7 Far: 'I of 2 30 40 50 60 F0 80 90 300 US For the graph shown above, we will use the Empirical Rule to find the percentage of values between 80 and 90. First, we note that 80 isl 1 l 0" standard deviation above the mean of 70. By the Empirical Rule, 68% of values are within one standard deviation of the mean. as shown below. \"4.. Q: I... C3 :4. C2) C3 (:2: HJ C3 80 90 300 HO Thus we know that' 34 ' 0" 96 of values are between 70 and 80. And also, 90 is' 2 i 0" standard deviations above the mean of 70. By the Empirical Rule, 9596 of values are within two standard deviations of the mean. as shown below. 30 40 100 HO Thus we know that' 47.5 i 0" 96 of values are between 70 and 90. So this shaded area contains 34% of the data: 3O 40 50 60 70 80 90 100 116 And this shaded area has 47.5% of the data: D; Q; 40 50 60 .70 80 90 100 HO And this is the original area that we wanted: 30 40 50 6O FD 80 90 100 116 So therefore, % of values must be between 80 and 90. As a probability, we have: P(80 : X (4' 90) =