Assume that the random variable $ X $ is normally distributed, with mean $ \mu = 53 $ and standard deviation $ \sigma = 11 $. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.\[ P(X \leq 46) \]Which of the following shaded regions corresponds to $ P(X \leq 46) $?- **A.** A normal distribution curve is shown with a shaded region to the left of $ X = 46 $. The mean ($ 53 $) is marked, and the shaded area indicates the probability of $ X $ being less than or equal to $ 46 $.- **B.** A normal distribution curve is shown with a shaded region between $ X = 46 $ and the mean $ \mu = 53 $. This does not represent $ P(X \leq 46) $ since it only includes values from $ 46 $ to $ 53 $.- **C.** A normal distribution curve is shown with a shaded region to the right of $ X = 46 $. This represents the area greater than $ 46 $ and is not the desired probability.

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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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