### Probability and Statistics Practice ProblemOn a planet far far away from Earth, the IQ of the ruling species is normally distributed with a mean of 102 and a standard deviation of 18. Suppose one individual is randomly chosen. Let \( X \) = IQ of an individual.#### Questions:a. **What is the distribution of \( X \)?** \( X \sim N(\mu, \sigma^2) \) \( X \sim N( \_\_\_\_ , \_\_\_\_ ) \) b. **Find the probability that a randomly selected person's IQ is over 84.** \(\_\_\_\_\_) *Round your answer to 4 decimal places.*c. **A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services?** \(\_\_\_\_\_) *Round your answer to 2 decimal places.*d. **Find the Interquartile Range (IQR) for IQ scores.** *Round your answers to 2 decimal places.* - **Q1:** \(\_\_\_\_\_) - **Q3:** \(\_\_\_\_\_) - **IQR:** \(\_\_\_\_\_)#### Hint:##### Helpful videos:- [Find a Probability \[+\]](#)- [Finding a Value Given a Probability \[+\]](#)- [Hint \[+\]](#)---In case calculations are needed for any of the questions above, make sure to reference appropriate statistical techniques and tables (e.g., Z-tables for standard normal distribution, quartile calculations, etc.).

Given:Mean(µ)=102Standard deviation (σ)=18Therefore,Variance=σ2=182=324

Answered: On a planet far far away from Earth, IQ…

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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