Question 12 (1 point) On average, each insurance claim forwarded to a certain division of an insurance company has a 40% chance of getting approved after the preliminary review. In addition to that, all claims forwarded to this office are assumed to be independent of each other. Suppose on a given day 5 claims are forwarded to this office. What is the probability that none of the 5 claims will be approved after the preliminary review? Notes: 1- Your final answer should be expressed as a decimal and not a percentage. 2- Only round your final answer to 4 decimal places. Enter your final answer with Q decimal places. Your Answer: Answer \fCorrelation To determine whether the tip left at the end of a meal (response variable) is related to the size of the total bill (predictor variable) at their restaurant, Chez Michelle, data were gathered for 10 customers. The data and summary statistics are shown in the table. The averages, along with standard deviations as well as the correlation coefficient are already calculated. Calculate the yintercept of the regression line the predicts the tip amount based on the amount of the bill. Note: 1 Round your numbers to 3 decimal places and choose the answer that is closest to your answer. Question 14 (1 point) Consider the following table showing values of residuals (e), the difference between the observed data y and y: e 0.6 -0.2 -0.8 0.4 What is the standard deviation of the residuals? Note: 1- Only round your final answer to 1 decimal place. Enter your final answer with 1 decimal place. Your Answer: AnswerQuestion 15 (1 point) A random variable @ follows continuous uniform distribution on the interval [21,38]. Find the variance Var ( X). Note: Enter your answer with 2 decimal places. Your Answer: AnswerQuestion 16 (1 point) A random variable Cl) follows the continuous uniform distribution on the interval [16,40]. Find the probability P(25 X 28). Notes: 1- Your final answer should be expressed as a decimal and not a percentage. 2- Only round your final answer to 2 decimal places. Enter your final answer with 2 decimal places. Your Answer: l; Answer Question 17 (1 point) On average, each insurance claim forwarded to a certain division of an insurance company has a 70% chance of getting approved after the preliminary review. In addition to that, all claims forwarded to this office are assumed to be independent of each other. Suppose on a given day 5 claims are forwarded to this office. What is the probability that only 1 of the 5 claims will be approved after the preliminary review? Notes: 1- Your final answer should be expressed as a decimal and not a percentagg. 2- Only round your final answer to 4 decimal places. Enter your final answer with g decimal places. Your Answer: Answer Question 18 (1 point) On average, each insurance claim forwarded to a certain division of an insurance company has a 70% chance of getting approved after the preliminary review. In addition to that, all claims forwarded to this office are assumed to be independent of each other. Suppose on a given day 5 claims are forwarded to this office. What is the probability that exactly 2 of the 5 claims will be approved after the preliminary review? Notes: 1- Your final answer should be expressed as a decimal and not a percentage. 2 Only round your final answer to 4 decimal places. Enter your final answer with Q decimal places. Your Answer: Answer Question 19 (1 point) On average, each insurance claim forwarded to a certain division of an insurance company has a 41% chance of getting approved after the preliminary review. In addition to that, all claims forwarded to this office are assumed to be independent of each other. Suppose on a given day 5 claims are forwarded to this office. What is the probability that exactly 4 of the 5 claims will be approved after the preliminary review? Notes: 1- Your final answer should be expressed as a decimal and not a percentage. 2- Only round your final answer to 4 decimal places. Enter your final answer with _l decimal places. Your Answer: Answer Question 20 (1 point) A random variable :8 follows continuous uniform distribution on the interval [12,36]. Find the standard deviationSD(ZlZ). Note: 1- Only round your final answer to 2 decimal places. Enter your final answer with 2 decimal places. Your Answer: Answer \f