10. [-/12.35 Points] DETAILS ILLOWSKYINTROSTAT1 7.1.064.HW. MY NOTES ASK YOUR TEACHER Suppose that a category of world class runners are known to run a marathon
10. [-/12.35 Points] DETAILS ILLOWSKYINTROSTAT1 7.1.064.HW. MY NOTES ASK YOUR TEACHER Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 143 minutes with a standard deviation of 15 minutes. Consider 49 of the races. Let X = the average of the 49 races. Part (a) Give the distribution of X. (Round your standard deviation to two decimal places.) x - Part (b) Find the probability that the average of the sample will be between 141 and 146 minutes in these 49 marathons. (Round your answer to four decimal places.) Part (c) Find the 80th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) min Part (d) Find the median of the average running times. min
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance