**Problem Description:**Scores for a common standardized college aptitude test are normally distributed with a mean of 510 and a standard deviation of 96. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect.**Task A:**If 1 of the men is randomly selected, find the probability that his score is at least 579.5.- Calculation: - \( P(X > 579.5) = \) - Enter your answer as a number accurate to 4 decimal places.**Task B:**If 11 of the men are randomly selected, find the probability that their mean score is at least 579.5.- Calculation: - \( P(M > 579.5) = \) - Enter your answer as a number accurate to 4 decimal places.**Instructions:**- Use the properties of the normal distribution to solve the problems.- For Task A, focus on individual probability.- For Task B, consider the mean of a sample size of 11.- Ensure all answers are provided to four decimal places for precision.

GivenMean(μ)=510standard deviation(σ)=96

Answered: Scores for a common standardized…

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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