Assume that the random variable X is normally distributed, with mean μ = 45 and standard deviation σ = 10. Compute the probability P(55 < X < 70). Be sure to draw a normal curve with the area corresponding to the probability shaded.Draw a normal curve with the area corresponding to the probability shaded. Choose the correct graph below.Options:- **A:** A normal distribution curve with the mean at 45. The shaded area starts at the mean (45) and extends to 55.- **B:** A normal distribution curve with the mean at 45. The entire area from the mean (45) to the right (including beyond 70) is shaded.- **C:** A normal distribution curve with the mean at 45. The shaded area is between 55 and 70.The correct graph is option **C.**\[ P(55 < X < 70) = \text{(Round to four decimal places as needed.)} \]

The given mean is 45, and standard deviation is 10. The probability P55<X≤70 is,…

Answered: Assume that the random variable X is…

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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Assume that the random variable X is normally distributed, with mean u= 45 and standard deviation a= 10. Compute the probability P(55