Question 3Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510points and a standard deviation of 345.1 points. Let X be the SAT score of a randomly selected student andlet X be the average SAT score of a random sample of size 44.1. Describe the probability distribution of X and state its parameters μ and o:X~ unknown(μ=1510,0 = 345.1and find the probability that the SAT score of a randomly selected student is between 1007 and 1670points.0.6060 x (Round the answer to 4 decimal places)2. Use the Central Limit Theoremthe sample size is large (n>30) although the distribution of the original population is unknownto describe the probability distribution of X and state its parameters μ and ox: (Round the answers to 1decimal place)X~N(μχ 1510 xand find the probability that the average SAT score of a sample of 44 randomly selected students is lessthan 1385 points.52.00.0082✓ (Round the answer to 4 decimal places)

Given,sample size(n)= 44mean(μ)=1510standard deviation(σ)=345.1

Answered: Historically, the SAT score of a…

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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