Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. a. What is the distribution of X? )1 ~ N{ 22.5 X, 22.5 X] b. If one of thetrials is randomly chosen, find the probability that it lasted at least 18 days. | 0.?881 | o\" c. If one of the trials is randomly chosen, find the probability that it lasted between 13 and 26 days. n.2nss I o\" d. 151% of all of these types of trials are completed within how many days? {Please enter a 1whole number} [23 v" o" The amount of time that people spend at Grover Hot Springs is normallyr distributed with a mean of I"? minutes and a standard deviation of 15 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of K? )1 ~ N|{ T315 X, ??.15 X] b. Find the probability that a randomlyr selected person at the hot springs stays longer then 94 minutes. [1.1285 v" o\" c. The park service is considering offering a discount for the 53:1 of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount?| 52.333 v! minutes. :1" d. Find the Inter Quartile Range [IQR] for time spent at the hot springs. o1: [ 55.5525 | minutes 5" o3: [ 52.1125 | minutes 5' roe: 25.2555 'minutes 5