**Problem Statement:**Assume the random variable $ X $ is normally distributed with a mean $ \mu = 50 $ and a standard deviation $ \sigma = 7 $. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.\[ P(35 < X < 65) \]**Question:**Which of the following normal curves corresponds to $ P(35 < X < 65) $?**Options:**- **A.** - Description: The graph is a normal distribution curve centered at 50, with the area between 35 and 65 shaded in blue. This represents the probability $ P(35 < X < 65) $ under a symmetric curve where the total shaded area covers the region bounded by 35 on the left and 65 on the right.- **B.** - Description: This graph is similar to curve A, with a normal distribution curve centered at 50. The entire area under the curve from 35 to 65 is shaded in blue, covering the same region as A.- **C.** - Description: The normal distribution curve is centered at 50, but only the tails extending beyond 35 and 65 are shaded in blue. This indicates areas outside the range of interest $ 35 < X < 65 $, which is incorrect for the given probability.**Correct Choice:** The correct choice for illustrating $ P(35 < X < 65) $ is both A and B, as they show the appropriate shaded region between 35 and 65 under the normal curve.

Answered: Image /qna-images/answer/05dec3f4-3891-43ab-8194-2346c331a9e9.jpg

Answered: Assume 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 the random variable X is normally distributed with mean p = 50 and standard deviation o =7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35