Question 3▼ <>The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 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 23b. What is the distribution of ? - N 23c. What is the distribution of ? -N103511.510d. If one randomly selected runner is timed, find the probability that this runner's time will be between22.7633 and 23.2633 minutes.X-Hint:2.40.3578e. For the 45 runners, find the probability that their average time is between 22.7633 and 23.2633minutes.f. Find the probability that the randomly selected 45 person team will have a total time more than1048.5.g. For part e) and f), is the assumption of normal necessary? O Yes Noh. The top 10% of all 45 person team relay races will compete in the championship round. These are the10% lowest times. What is the longest total time that a relay team can have and still make it to thechampionship round?minutes

Given X~N(23,2.4) x̄~N(23,0.3578) ∑x~N(1035,11.510) Note: According to Bartleby guidelines expert…

Answered: d. If one randomly selected runner is…

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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Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant с 250 39 A B 317 269 60 D 146 12 Order Accurate Order Not Accurate 38 If one order is selected, find the probability of getting an order from restaurant B or D or an order that is not accurate. The probability of getting an order from restaurant B or D or an order that is not accurate is (Round to three decimal places as needed.)
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Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant A B C D Order Accurate 318 268 233 140 Order Not Accurate 33 51 39 13 If one order is selected, find the probability of getting an order from restaurant B or C or an order that is not accurate.
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