Today, the waves are crashing onto the beach every 4.7 seconds. The times from when a personarrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to4.7 seconds. Round to 4 decimal places where possible.a. The mean of this distribution isb. The standard deviation isc. The probability that wave will crash onto the beach exactly 2 seconds after the person arrivesis P(x = 2) =d. The probability that the wave will crash onto the beach between 0.4 and 1.4 seconds after theperson arrives is P(0.4 < x< 1.4) =e. The probability that it will take longer than 2.24 seconds for the wave to crash onto the beachafter the person arrives is P(x > 2.24) =f. Suppose that the person has already been standing at the shoreline for 0.1 seconds without awave crashing in. Find the probability that it will take between 0.8 and 4.6 seconds for thewave to crash onto the shoreline.g. 10% of the time a person will wait at least how long before the wave crashes in?seconds.h. Find the minimum for the upper quartile.seconds.

Answered: Today, the waves are crashing onto the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Today, the waves are crashing onto the beach every 4.7 seconds. The times from when a person
arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to
4.7 seconds. Round to 4 decimal places where possible.
a. The mean of this distribution is
b. The standard deviation is
c. The probability that wave will crash onto the beach exactly 2 seconds after the person arrives
is P(x = 2) =
d. The probability that the wave will crash onto the beach between 0.4 and 1.4 seconds after the
person arrives is P(0.4 < x< 1.4) =
e. The probability that it will take longer than 2.24 seconds for the wave to crash onto the beach
after the person arrives is P(x > 2.24) =
f. 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 0.8 and 4.6 seconds for the
wave to crash onto the shoreline.
g. 10% of the time a person will wait at least how long before the wave crashes in?
seconds.
h. Find the minimum for the upper quartile.
seconds.

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