2022 2 Marks: 153 (5) Q.21 It has been found that 1 out of every 10 municipal bills is incorrect. If we randomly select a sample of 12 bills, what is the probability that no more than two of the bills will be incorrect? Interpret your answer. 2.2.2 The time taken to complete a half-marathon is normally distributed, with an average time (m) of 3.15 hours and a standard deviation (0) of 0.95 hours. What is the probability that a randomly selected runner will: (5) Q.2.2.1 Take between 2.80 and 3.25 hours to complete the half-marathon? Interpret your answer. 2.2.2.2 Take between 2.35 and 2.85 hours to complete the half-marathon? 151 Interpret your answer. Question (Marks: 101 Give a brief explanation of the central limit theorem. it has been found that 12% of customers at a particular restaurant wait longer than 0.3.2 25 minutes for their order. We assume normal distribution, and randomly select 5 customers 0.3.21 Q3.2.2 Determine the standard error for this sample What is the probability that, for the sample of customers the proportion who wait longer than 25 minutes for the greater than 12.75557 Interpret your ne 2022 2 Marks: 153 (5) Q.21 It has been found that 1 out of every 10 municipal bills is incorrect. If we randomly select a sample of 12 bills, what is the probability that no more than two of the bills will be incorrect? Interpret your answer. 2.2.2 The time taken to complete a half-marathon is normally distributed, with an average time (m) of 3.15 hours and a standard deviation (0) of 0.95 hours. What is the probability that a randomly selected runner will: (5) Q.2.2.1 Take between 2.80 and 3.25 hours to complete the half-marathon? Interpret your answer. 2.2.2.2 Take between 2.35 and 2.85 hours to complete the half-marathon? 151 Interpret your answer. Question (Marks: 101 Give a brief explanation of the central limit theorem. it has been found that 12% of customers at a particular restaurant wait longer than 0.3.2 25 minutes for their order. We assume normal distribution, and randomly select 5 customers 0.3.21 Q3.2.2 Determine the standard error for this sample What is the probability that, for the sample of customers the proportion who wait longer than 25 minutes for the greater than 12.75557 Interpret your ne