Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a person arrives at theshoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.6 seconds. Round to 4decimal places where possible.a. The mean of this distribution isb. The standard deviation isc. The probability that wave will crash onto the beach exactly 0.7 seconds after the person arrives is P(x =0.7) =d. The probability that the wave will crash the beach between 1.6 and 5.1 seconds after the personarrives is P(1.6 < x < 5.1) =e. The probability that it will take longer than 3.72 seconds for the wave to crash onto the beach after theperson arrives is P(x > 3.72) =f. Suppose that the person has already been standing at the shoreline for 0.8 seconds without a wavecrashing in. Find the probability that it will take between 1.4 and 3.3 seconds for the wave to crashonto the shoreline.g. 65% 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.

Given: Let x be the time from a person arrives at the shoreline untill a crashing wave is observed…

Answered: a. The mean of this distribution is b.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 0.7 seconds after the person arrives is P(x 0.7) =