Today, the waves are crashing onto the beach every 4 seconds. The times from when a person arrives at theshoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4 seconds. Round to 4decimal places where possible.a. The mean of this distribution is 2Orb. The standard deviation isc. The probability that wave will crash onto the beach exactly 1.2 seconds after the person arrives isP(x = 1.2) =d. The probability that the wave will crash onto the beach between 0.5 and 0.9 seconds after theperson 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 afterthe person arrives is P(x > 2.3) =f. Find the maximum for the lower quartile.seconds.

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Answered: Today, the waves are crashing onto the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 399. Assume this mileage follows the normal distribution with a standard deviation of What is the probability that, before the low-fuel light comes on, the car will travel between 328 and 348 miles on the next tank of gas? 36 miles. Complete parts a through d below. (Round to four decimal places as needed.
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability that the reading is between 1.5°C and 1.71°C.
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. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 3.3 seconds after the person arrives is P(x = 3.3) = d. The probability that the wave will crash onto the beach between 1.9 and 2.3 seconds after the person arrives is P(1.9 3.26) = f. Find the minimum for the upper quartile. seconds.
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Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.6 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 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 person arrives is P(1.6 3.72) = f. Suppose that the person has already been standing at the shoreline for 0.8 seconds without a wave crashing in. Find the probability that it will take between 1.4 and 3.3 seconds for the wave to crash onto 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.
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In a normal distribution, x = 5 and 2=-1.25. This tells you that x = standard deviations to the (right or left) of the mean.
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Today, the waves are crashing onto the beach every 4.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.1 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 2.8 seconds after the person arrives is P(x = 2.8) = d. The probability that the wave will crash onto the beach between 0.4 and 1.9 seconds after the person arrives is P(0.4 0.82) = f. Suppose that the person has already been standing at the shoreline for 0.5 seconds without a wave crashing in. Find the probability that it will take between 1 and 4 seconds for the wave to crash onto the shoreline. g. 26% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the maximum for the lower quartile. seconds.
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