SAT scores: Assume that in a given year the mean mathematics SAT score was 467, and the standard deviation was 105. A sample of 59 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 455? Round the answer to at least four decimal places. The probability that the sample mean score is less than 455 is]. X 5 Part 2 of 5 (b) What is the probability that the sample mean score is between 430 and 470? Round the answer to at least four decimal places. The probability that the sample mean score is between 430 and 470 is. X 5 Part 3 of 5 (c) Find the 45"percentile of the sample mean. Round the answer to at least two decimal places. The 45" percentile of the sample mean is. X 5 Part 4 of 5 (d) Would it be unusual if the the sample mean were greater than 499? Round answer to at least four decimal places. It (Choose one) | be unusual if the the sample mean were greater than 499, since the probability is. X 5 Part 5 of 5 (e) Do you think it would be unusual for an individual to get a score greater than 499? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. (Choose one) V , because the probability that an individual gets a score greater than 499 is XHigh-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2634. Assume the standard deviation is $501. A real estate firm samples 106 apartments. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean rent is greater than $2704? Round the answer to at least four decimal places. The probability that the sample mean rent is greater than $2704 is]. X 5 Part 2 of 5 (b) What is the probability that the sample mean rent is between $2503 and $2603? Round the answer to at least four decimal places. The probability that the sample mean rent is between $2503 and $2603 is. X Part 3 of 5 (c) Find the 85 percentile of the sample mean. Round the answer to at least two decimal places. The 85 percentile of the sample mean rent is $. X Part 4 of 5 (d) Would it be unusual if the sample mean were greater than $2710? Round answer to at least four decimal places. (Choose one) V , because the probability that the sample mean is greater than $2710 is. X 5 Part 5 of 5 (e) Do you think it would be unusual for an individual to have a rent greater than $2710? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. (Choose one) V , because the probability that an apartment has a rent greater than $2710 is. X