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 mean of this distribution is . The standard deviation is . The probability that wave will crash onto the beach exactly 4.8 seconds after the person arrives is P(x=4.8)=P(x=4.8)= .
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 mean of this distribution is . The standard deviation is . The probability that wave will crash onto the beach exactly 4.8 seconds after the person arrives is P(x=4.8)=P(x=4.8)= .
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question
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 mean of this distribution is .
- The standard deviation is .
- The probability that wave will crash onto the beach exactly 4.8 seconds after the person arrives is
P(x=4.8)=P(x=4.8)= . - 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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