**Probability in Normal Distribution: Age Range of Skydivers****Question:**Riana Miren and Trinh are 40 and 57 years old, respectively. Based on a normal distribution with a mean of 49.3 years and a standard deviation of 11.8, what is the probability that a skydiver will be between 40 and 57 years of age?**Options:**- 0.5277- 0.2702- 0.9455- 0.0545In this problem, we are to find the probability that a skydiver falls within the given age range. It is important to reference the properties of the normal distribution to determine this probability, using the provided mean and standard deviation.**Solution Steps:**1. Convert age limits (40 and 57 years) into z-scores using the z-score formula: $ z = \frac{(x - \mu)}{\sigma} $, where $ x $ is the value, $ \mu $ is the mean, and $ \sigma $ is the standard deviation.2. Use the z-scores to find the corresponding probabilities from the standard normal distribution table.3. Subtract the smaller probability from the larger probability to find the probability that a skydiver will be between 40 and 57 years of age. Review the multiple-choice options to find the correct probability associated with the calculated value.

It is given that Mean, μ = 49.3 Standard deviation, σ = 11.8 Z-Score, Z = ( X-μ )/σ

Answered: Riana Miren and Trinh are 40 and 57…

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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Riana Miren and Trinh are 40 and 57 years old, respectively. Based on a normal distribution with mean 49.3 years and standard deviation 11.8, what is the probability that a skydiver will be between 40 and 57 years of age? 0.5277 0.2702 0.9455 0.0545