The 2024 edition of the Olympics will be hosted in France and one of the most important data collected and analyzed during Olympics is the reaction times of the athletes in events like the 100m and 200m sprints. From data collected in previous Olympics, the reaction times for the 100m sprint event are normally distributed with a mean of 0.14 seconds and variance of 0.0625 seconds. Calculate the following probabilities: a) The probability that a runner picked at random will have a reaction time of more that 1 second b) The probability that a runner picked at random will have a reaction time between 0.12 and 0.15 seconds. c) The probability that a runner picked at random will have a reaction time less than 0.09 seconds Calculate the following probabilities using the standard normal table (z-table and NOT a calculator): d) P(z>-0.42) e) P(0.33

The 2024 edition of the Olympics will be hosted in France and one of the most important data collected and analyzed during Olympics is the reaction times of the athletes in events like the 100m and 200m sprints. From data collected in previous Olympics, the reaction times for the 100m sprint event are normally distributed with a mean of 0.14 seconds and variance of 0.0625 seconds. Calculate the following probabilities: a) The probability that a runner picked at random will have a reaction time of more that 1 second b) The probability that a runner picked at random will have a reaction time between 0.12 and 0.15 seconds. c) The probability that a runner picked at random will have a reaction time less than 0.09 seconds Calculate the following probabilities using the standard normal table (z-table and NOT a calculator): d) P(z>-0.42) e) P(0.33

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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