Answered: What is the probability that a randomly…

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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Question

Ali's Academy trains a large number of amateurs in basic boxing skills. The weights of all the applicants of the training program is known to follow a normal distribution with a mean of 86 kg and a standard deviation of 13 kg. One of the admission requirements is to weigh in between 65 kg and 90 kg, since health complications often arise beyond these wight classes.

a. What is the probability that a randomly selected applicant will not satisfy the weight requirements?

b. Determine the 83 percentile value for the call weight of the applicants.

c. Tyson is trying to gain some weight before joining the training program. His goal is to be among the top 9.05% of the accepted weight range. What should his minimum weight be for him to reach his goal?

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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