Compute probabilities.Recall the following definitions from section 6.4 of the text.The area under the normal curve from x = a to x = b with given mean and standard deviation is the probability that x assumes a valuebetween x = a and x = b. If we are using Table IV in Appendix C, we need to standardize the random variable x using the formula z = (x -H)/o, before using the table.Alternatively, you may use a graphing calculator to obtain more accurate calculations without standardizing the random variable x.For example, using a TI83 plus we calculate the area under the normal curve from x = a to x = b by using thenormalcdf(a,b,u,o)where u is the mean and o is the standard deviation of the normal distribution. We use 1E99 for o and -1E99 for -o, if needed.Chapter 06, Section 6.2, Intelligent Tutoring Problem 023Let x be a continuous random variable that is normally distributed with a mean of 27 and a standard deviation of 7.Round your answers to two decimal places.(a) Standardize the variable value x = 31.7.Z =i(b) Standardize the variable value x = 62.0.Z =i

a) Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…

Answered: Let x be a continuous random variable…

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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Let x be a continuous random variable that is normally distributed with a mean of 27 and a standard deviation of 7. Round your answers to two decimal places. (a) Standardize the variable value x = 31.7. i (b) Standardize the variable value x = 62.0. i