A. Today, the waves are crashing onto the beach every 5.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.5 seconds. Round to 4 decimal places where possible.The mean of this distribution is The standard deviation is The probability that it will take longer than 2.6 seconds for the wave to crash onto the beach after the person arrives is P(x ≥≥ 2.6) = B. For the standard normal distribution, find the value of c such that:P(z > c) = 0.3966

Answered: A. Today, the waves are crashing onto…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 58CR

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A. Today, the waves are crashing onto the beach every 5.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.5 seconds. Round to 4 decimal places where possible.

The mean of this distribution is
The standard deviation is
The probability that it will take longer than 2.6 seconds for the wave to crash onto the beach after the person arrives is P(x ≥≥ 2.6) =

B. For the standard normal distribution, find the value of c such that:

P(z > c) = 0.3966

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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