Los Angeles workers have an average commute of 34 minutes. Suppose the LA commute time is normally distributed with a standard deviation of13 minutes. Let K represent the commute time for a randomly seLected LA worker. Round aLl answers to 4 decimal places where possible. 13 jo'o' a. What is the distribution of K? )1 ~ MI 34 H b. Find the probability that a randomly,r selected LA worker has a commute that is longer than 33 minutes. [1.5319 R c. Find the Tth percentile for the commute time of LAworkers. 42.?684 I minutes If The percent of fat calories that a person in America consumes each day is normally.r distributed 1with a mean of about 33 and a standard deviation of 9'. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X ~ NI[| 38 J, 9 J'} o" o" b. Find the probability...r that a randomly selected fat calorie percent is more than 43. 023?? X c. Find the minimum number for the upper quarter of percent of fat calories. l 44.0?4 I o" Suppose that the distance of fly.r balls hit to the outfield {in baseball] is normally distributed with a mean of 269 feet and a standard deviation of 40 feet. Let I be the distance in feet for a fly...r ball. a. What is the distribution of it? it ~ Ni 269 H 41] i as as b. Find the probability that a randomly.r hit fly.r ball travels less than 319 feet. Round to 4 decimal places. | 0.3944 ' if c. Find the 80th percentile for the distribution of distance of fly balls. Round to 2 decimal places. 31.12.5648 X feet 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