The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.1 mm. Round values to 4 decimal places when possible.The mean of this distribution is .The standard deviation is .The probability that the round off error for a jumper's distance is exactly 4.3 is P(x=4.3)=P(x=4.3)= .The probability that the round off error for the distance that a long jumper has jumped is between 1.5 and 2.5 mm is P(1.5<x<2.5)=P(1.5<x<2.5)= .The probability that the jump's round off error is greater than 1.22 is P(x>1.22)=P(x>1.22)= .P(x>1.8∣x>0.5)=P(x>1.8∣x>0.5)= .Find the 54th percentile. Find the maximum for the lower quarter.

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.”.1. The mean of this distribution is, μ=a+b2=0+5.12=2.55 Thus, the mean of this distribution is 2.55.2. The standard deviation of this distribution is, σ=b-a12=5.1-012=1.4722 Thus, the standard deviation of this distribution is 1.4722.3. It is known that the the exact probability in uniform distribution is equal to 0. Thus, the probability that the round off error for a jumper's distance is exactly 4.3 is 0.

Answered: The round off errors when measuring 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 round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.1 mm. Round values to 4 decimal places when possible.

The mean of this distribution is .
The standard deviation is .
The probability that the round off error for a jumper's distance is exactly 4.3 is
P(x=4.3)=P(x=4.3)= .
The probability that the round off error for the distance that a long jumper has jumped is between 1.5 and 2.5 mm is
P(1.5<x<2.5)=P(1.5<x<2.5)= .
The probability that the jump's round off error is greater than 1.22 is
P(x>1.22)=P(x>1.22)= .
P(x>1.8∣x>0.5)=P(x>1.8∣x>0.5)= .
Find the 54th percentile.
Find the maximum for the lower quarter.

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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