Complete full solutions to the following questions using the z-score chart (show your work}. Submit your work to the Dropbox linked following the questions: 1. Find the zsoore for x = 8 if the mean is 7 and the standard deviation is 2. 2. Find the percentile for x = 8 if the mean is 7 and the standard deviation is 2. 3. For a mean of 20 and standard deviation of 5, find P(X g 17) . 4. For a mean of 75 and a standard deviation of 3, find PtX 3 r7). 5. For a mean of 153 and standard deviation of 25, find Puss g X 5 1m). 6. IO! scores of people around the World are normally distributed, with a mean of 100 and a standard deviation of 15. A genius is someone with an IQ greater than or equal to 140. What percent of the population is oonsidered genius? 7. The Weights of 100 remote control cars at a competition are approximately normally distributed. The average weight is 3.2 kg, with a standard deviation of 0.4 kg. a. How many remote control cars w0uld be disqualified if it were against the rules to have a car with a weight of more than 4 kg or less than 2.4 kg? b. A car is said to be in the 90'\" percentile. How much does it weigh