Three friends, Xavier, Yolanda, and Zeke, want to have a race on their stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles, for any value of n. Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per hour, and Zeke's speed is 3 miles per hour. We will show that Xavier is incorrect (he has never taken a Discrete Structures course, exi- dently!). (a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Velande? luetifu The angu

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.