The amount of time that people spend at lGrover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 1E1 minutes. Suppose one person at the hot springs is randomly chosen. Let K = 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 Df it? it ~ Ni{ so H is 1. as as b. Find the probability that a randomly selected person at the hot springs stays longer then 1'2 minutes. [0.41113 \". :1" c. The park service is considering offering a discount for the oft- 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?[ 43.1236 J minutes. if cl. Find the Inter Quartile Range [IQFl] for time spent at the hot springs. [11: 5?.2 X minutes [13: FEB 1! minutes IQR: 21.6 3-: minutes In the 1992 presidential election, laska's 40 election districts averaged 1842 votes per district for President Clinton. The standard deviation was 580. [There are only 40- election districts in Alaska] The distribution of the votes per district for President Clinton was bell-shaped. Let 3'; = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Fact} Round alL answers except part e. to 4 decimal places. a. What is the distribution of X? 3'1 Nil1842 \\{H 58E] b. ls1841 a population mean or a sample mean? Population Mean v 1" :1" c. Find the probability that a randomly selected district had fewer than 1?28 votes for President Clinton. 0.420? 3-: cl. Find the probability that a randomly selected district had between 19?? and 2253 votes for President Clinton. 0.1?32 x e. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number. 2233.5 )1