Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. Suppose that the person has already been standing at the shoreline for 1.2 seconds without a wave crashing in. Find the probability that it will take between 3.8 and 4.7 seconds for the wave to crash onto the shoreline.  46% of the time a person will wait at least how long before the wave crashes in?  Find the minimum for the upper quartile.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible.

  1. Suppose that the person has already been standing at the shoreline for 1.2 seconds without a wave crashing in. Find the probability that it will take between 3.8 and 4.7 seconds for the wave to crash onto the shoreline. 
  2. 46% of the time a person will wait at least how long before the wave crashes in? 
  3. Find the minimum for the upper quartile.  
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