Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible.The probability that the wave will crash onto the beach between 0.2 and 1 seconds after the person arrives is P(0.2<x<1)=P(0.2<x<1)= .The probability that it will take longer than 2.96 seconds for the wave to crash onto the beach after the person arrives is P(x>2.96)=P(x>2.96)= .Suppose that the person has already been standing at the shoreline for 0.1 seconds without a wave crashing in. Find the probability that it will take between 2.1 and 3.3 seconds for the wave to crash onto the shoreline. P(2.1<x<3.3∣x>0.1)=P(2.1<x<3.3∣x>0.1)= .79% of the time a person will wait at least how long before the wave crashes in? seconds.Find the maximum for the lower quarter. seconds.

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Answered: The probability that the wave will…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section: Chapter Questions

Problem 4CA

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Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible.

The probability that the wave will crash onto the beach between 0.2 and 1 seconds after the person arrives is
P(0.2<x<1)=P(0.2<x<1)= .
The probability that it will take longer than 2.96 seconds for the wave to crash onto the beach after the person arrives is
P(x>2.96)=P(x>2.96)= .
Suppose that the person has already been standing at the shoreline for 0.1 seconds without a wave crashing in. Find the probability that it will take between 2.1 and 3.3 seconds for the wave to crash onto the shoreline.
P(2.1<x<3.3∣x>0.1)=P(2.1<x<3.3∣x>0.1)= .
79% of the time a person will wait at least how long before the wave crashes in?
seconds.
Find the maximum for the lower quarter.
seconds.

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