The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.2 minutes. 14 runnersare randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible andassume a normal distribution.a. What is the distribution of X? X - N( 25b. What is the distribution of x? x - N( 25c. What is the distribution of Σα? ΣxN 3508.2316d. If one randomly selected runner is timed, find the probability that this runner's time will be between24.618 and 25.218 minutes.e. For the 14 runners, find the probability that their average time is between 24.618 and 25.218minutes.2.20.5880f. Find the probability that the randomly selected 14 person team will have a total time less than354.2.g. For part e) and f), is the assumption of normal necessary? Yes Noh. The top 15% of all 14 person team relay races will compete in the championship round. These are the15% lowest times. What is the longest total time that a relay team can have and still make it to thechampionship round?minutes

given data, normal distribution μ=25σ=2.2n=14 runners

Answered: The average time to run the 5K fun run…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Private nonprofit four-year colleges charge, on average, $26,796 per year in tuition and fees. The standard deviation is $6,782. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 26796 6782 b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 31,080 per year. Enter an integer or decimal number, accurate to at least 4 decimnal places [more..] c. Find the 75th percentile for this distribution. $ (Round to the nearest dollar.)
The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. Round values to 4 decimal places when possible. b. The standard deviation is c. The probability that the round a. The mean of this distribution is off error for a jumper's distance is exactly 0.3 is P(x-03)-d. The probability that the round off error for the distance that a long jumper has jumped is between 0 and 5 8 mm is PC1.7 x 5.2)- that the jump's round off error is greater than 1.76 is P(x > 1.76) Find the 81st percentile. e. The probability f P(x > 1.4 x > 0.6) h. Find the mnmum for the upper quartile.
The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/50 where x goes between 2 and 52 minutes. Round answers to 4 decimal places when possible. A. This is a Uniform or Normal distribution? B. Is it a Discrete or Continuous distribution? C. What is the mean of this distribution?
The age of children in kindergarten on the first day of school is uniformly distributed between 4.91 and 5.97 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
In a study, 25,000 adults were randomly surveyed as to the number of grandchildren they have, X. The probability distribution is given below. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. Round the mean to one decimal place and the standard deviation to two decimal places. x P(x) 0 0.01 1 0.02 2 0.02 3 0.24 4 0.35 5 0.20 6 0.07 7 0.05 8 0.02 9 0.01 10 0.01
Find the 68th percentile
Round answers to 4 decimal places. Draw graphs and include functions where appropriate.2. The scores on a standardized exam are normally distributed with a mean of 74 and standard deviation of 7.32. Let X = one exam score.a. Write the distribution of Xb. Find the probability a randomly selected exam has a score higher than 80.c. Find P97
R3
Only h answer
The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/20 where x goes between 1 and 21 minutes. Round answers to 4 decimal places when possible. a. This is a Select an answer distribution. b. It is a Select an answer v distribution. c. The mean of this distribution is d. The standard deviation is e. Find the probability that the time will be at most 13 minutes. f. Find the probability that the time will be between 6 and 16 minutes. g. Find the 30th percentile. h. Find the probability that the time is more than 17 minutes given (or knowing that) it is at least 3 minutes.

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