**Problem Statement:**Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 110 minutes and a standard deviation of 15 minutes. What proportion of 1040R tax forms will be completed in less than 85 minutes? Round your answer to at least four decimal places. **Solution:**First, calculate the z-score, which standardizes the value in question:\[ z = \frac{X - \mu}{\sigma} \]Where:- $ X = 85 $ (the value we are comparing)- $ \mu = 110 $ (the mean)- $ \sigma = 15 $ (the standard deviation)\[ z = \frac{85 - 110}{15} \]\[ z = \frac{-25}{15} \]\[ z = -1.6667 \]Next, use the standard normal distribution table or a calculator to find the proportion corresponding to the z-score of -1.6667. The proportion or probability $ P(Z < -1.6667) $ gives the required proportion of tax forms completed in less than 85 minutes. After consulting a z-table or using a calculator, you should find:\[ P(Z < -1.6667) \approx 0.0478 \]Therefore, approximately 4.78% of the 1040R tax forms will be completed in less than 85 minutes.

Given values, Calculate the z value

Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 110 minutes and a standard deviation of 15 minutes. What proportion of 1040R tax forms will be completed in 0 less than 85 minutes? Round your answer to at least four decimal placese

Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 110 minutes and a standard deviation of 15 minutes. What proportion of 1040R tax forms will be completed in 0 less than 85 minutes? Round your answer to at least four decimal placese

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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