Today, the waves are crashing onto the beach every 4 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 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is 2 Or b. The standard deviation is c. The probability that wave will crash onto the beach exactly 1.2 seconds after the person arrives is P(x = 1.2) = d. The probability that the wave will crash onto the beach between 0.5 and 0.9 seconds after the person arrives is P(0.5 < x < 0.9) = e. The probability that it will take longer than 2.3 seconds for the wave to crash onto the beach after the person arrives is P(x > 2.3) = f. Find the maximum for the lower quartile. seconds.

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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Today, the waves are crashing onto the beach every 4 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 seconds. Round to 4
decimal places where possible.
a. The mean of this distribution is 2
Or
b. The standard deviation is
c. The probability that wave will crash onto the beach exactly 1.2 seconds after the person arrives is
P(x = 1.2) =
d. The probability that the wave will crash onto the beach between 0.5 and 0.9 seconds after the
person arrives is P(0.5 < x < 0.9) =
e. The probability that it will take longer than 2.3 seconds for the wave to crash onto the beach after
the person arrives is P(x > 2.3) =
f. Find the maximum for the lower quartile.
seconds.
Transcribed Image Text:Today, the waves are crashing onto the beach every 4 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 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is 2 Or b. The standard deviation is c. The probability that wave will crash onto the beach exactly 1.2 seconds after the person arrives is P(x = 1.2) = d. The probability that the wave will crash onto the beach between 0.5 and 0.9 seconds after the person arrives is P(0.5 < x < 0.9) = e. The probability that it will take longer than 2.3 seconds for the wave to crash onto the beach after the person arrives is P(x > 2.3) = f. Find the maximum for the lower quartile. seconds.
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