On average, an American professional football game lasts about three hours, even though the ball is actually in play only 11 minutes. Assume that game times are normally distributed with a standard deviation of 0.4 hour. Find the probability that a game lasts less than 2.0 hours. Note: Do not round intermediate calculations. Round your final answer to 4 decimal places.   Find the probability that a game lasts either less than 2.0 hours or more than 2.5 hours. Note: Do not round intermediate calculations. Round your final answer to 4 decimal places.   Find the maximum value for the game time that will place it in the bottom 5% of the distribution. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places.

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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On average, an American professional football game lasts about three hours, even though the ball is actually in play only 11 minutes. Assume that game times are normally distributed with a standard deviation of 0.4 hour.

  1. Find the probability that a game lasts less than 2.0 hours.

    Note: Do not round intermediate calculations. Round your final answer to 4 decimal places.

     
  2. Find the probability that a game lasts either less than 2.0 hours or more than 2.5 hours.

    Note: Do not round intermediate calculations. Round your final answer to 4 decimal places.

     
  3. Find the maximum value for the game time that will place it in the bottom 5% of the distribution.

    Note: Do not round intermediate calculations. Round your final answer to 2 decimal places.

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