Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.8 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is 2.4 b. The standard deviation is 1.3856 c. The probability that wave will crash onto the beach exactly 1.2 seconds after the person arrives is P(x%=D 1.2) = d. The probability that the wave will crash onto the beach between 0.5 and 1.4 seconds after the person arrives is P(0.5 < x < 1.4) = e. The probability that it will take longer than 2.36 seconds for the wave to crash onto the beach after the person arrives is P(x > 2.36) = 0.5082 f. Find the minimum for the upper quartile. 3.6 seconds.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the
shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.8 seconds. Round to 4
decimal places where possible.
a. The mean of this distribution is 2.4
b. The standard deviation is 1.3856
c. The probability that wave will crash onto the beach exactly 1.2 seconds after the person arrives is P(x% D
1.2) =
%3D
d. The probability that the wave will crash onto the beach between 0.5 and 1.4 seconds after the person
arrives is P(0.5 < x < 1.4) =
%3D
e. The probability that it will take longer than 2.36 seconds for the wave to crash onto the beach after the
person arrives is P(x > 2.36) = 0.5082
f. Find the minimum for the upper quartile. 3.6
seconds.
Transcribed Image Text:Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.8 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is 2.4 b. The standard deviation is 1.3856 c. The probability that wave will crash onto the beach exactly 1.2 seconds after the person arrives is P(x% D 1.2) = %3D d. The probability that the wave will crash onto the beach between 0.5 and 1.4 seconds after the person arrives is P(0.5 < x < 1.4) = %3D e. The probability that it will take longer than 2.36 seconds for the wave to crash onto the beach after the person arrives is P(x > 2.36) = 0.5082 f. Find the minimum for the upper quartile. 3.6 seconds.
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