The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.5 minutes. 45 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N 22 b. What is the distribution of ? - N( 22 c. What is the distribution of ? * - N( 990 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.9409 and 22.2409 minutes. 0.0478 e. For the 45 runners, find the probability that their average time is between 21.9409 and 2.5 0.3727 16.7705 22.2409 minutes. f. Find the probability that the randomly selected 45 person team will have a total time less than 999. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 10% of all 45 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes

The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.5 minutes. 45 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N 22 b. What is the distribution of ? - N( 22 c. What is the distribution of ? * - N( 990 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.9409 and 22.2409 minutes. 0.0478 e. For the 45 runners, find the probability that their average time is between 21.9409 and 2.5 0.3727 16.7705 22.2409 minutes. f. Find the probability that the randomly selected 45 person team will have a total time less than 999. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 10% of all 45 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

What is HI? G. 48 HI
Replace the question mark by <, >, or =, whichever is correct. - 1 ? - 2
q-42
What is the value of b? b 30 27
2 cups of lime juice with 5 cups of water 3 cups of lime juice with 7 cups of water what has a stronger lime flavor
Answer this for me mate. Much appreciated.
b. What letter or letters represent .7 × 2? 1 0.2_ A -C 1 0.7 A O B O C O D O E F
Jayden jumped rope for 2.3 minutes without stopping. What is another way to write the number of minutes he jumped? O two and three tenths O two and three hundredths O t wenty and three tenths Ot wenty and three hundredths Вack 1 2 3 4 6. 7. P Search DII Prt Scn Hom
What is the value of a? 21 15 4.
Which of these is not a mixed number? A 2½ 840 4 76 493 D 93 AB earch
Which number replaces the question mark? 3 3 4 5 8 16 6 6 3 1 3 2. 2. 4.
Q7. When 7 is added to 3 times of a number, the result is N. Find the number.