The following data set shows the winning times (in seconds) for theKentucky Derby races from 1950 to 2010.Please see the attachment for details:a. Do you think there will be a trend in the winning times over the years? Draw a line chart to verify your answer.b. Describe the distribution of winning times using an appropriate graph. Comment on the shape of the distribution and look for any unusual observations. (1950) 121.3 122.3 121.3 122.0 123.0 121.4 123.2 122.1 125.0 122.1(1960) 122.2 124.0 120.2 121.4 120.0 121.1 122.0 120.3 122.1 121.4(1970) 123.2 123.1 121.4 119.2* 124.0 122.0 121.3 122.1 121.1 122.2(1980) 122.0 122.0 122.2 122.1 122.2 120.1 122.4 123.2 122.2 125.0(1990) 122.0 123.0 123.0 122.2 123.3 121.1 121.0 122.4 122.2 123.2(2000) 121.0 119.97 121.13 121.19 124.06 122.75 121.36 122.17 121.86 122.66(2010) 124.4"Record time set by Secretariat in 1973.Source: www.kentuckyderby.com

a.The line chart for the winning times over the years is constructed using Excel and it is shown…

(1950) 121.3 122.3 121.3 122.0 123.0 121.4 123.2 122.1 125.0 122.1 (1960) 122.2 124.0 120.2 121.4 120.0 121.1 122.0 120.3 122.1 121.4 (1970) 123.2 123.1 121.4 119.2* 124.0 122.0 121.3 122.1 121.1 122.2 (1980) 122.0 122.0 122.2 122.1 122.2 120.1 122.4 123.2 122.2 125.0 (1990) 122.0 123.0 123.0 122.2 123.3 121.1 121.0 122.4 122.2 123.2 (2000) 121.0 119.97 121.13 121.19 124.06 122.75 121.36 122.17 121.86 122.66 (2010) 124.4 "Record time set by Secretariat in 1973. Source: www.kentuckyderby.com

(1950) 121.3 122.3 121.3 122.0 123.0 121.4 123.2 122.1 125.0 122.1 (1960) 122.2 124.0 120.2 121.4 120.0 121.1 122.0 120.3 122.1 121.4 (1970) 123.2 123.1 121.4 119.2* 124.0 122.0 121.3 122.1 121.1 122.2 (1980) 122.0 122.0 122.2 122.1 122.2 120.1 122.4 123.2 122.2 125.0 (1990) 122.0 123.0 123.0 122.2 123.3 121.1 121.0 122.4 122.2 123.2 (2000) 121.0 119.97 121.13 121.19 124.06 122.75 121.36 122.17 121.86 122.66 (2010) 124.4 "Record time set by Secretariat in 1973. Source: www.kentuckyderby.com

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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