**Problem Statement:** Assume the random variable \( X \) is normally distributed with mean \( \mu = 50 \) and standard deviation \( \sigma = 7 \). Compute the probability \( P(35 < X < 58) \). Be sure to draw a normal curve with the area corresponding to the probability shaded.**Question:** Which of the following normal curves corresponds to \( P(35 < X < 58) \)?**Options:**- **Option A:** A normal distribution curve with a small shaded area on the right tail from 50 to 58.- **Option B:** A normal distribution curve with a shaded area from 35 to 58, covering most of the curve's body.- **Option C:** A normal distribution curve with a shaded area on the left tail from 35 to 50.**Selected Answer:** Option B (highlighted as the correct answer).**Calculation Request:** Calculate \( P(35 < X < 58) \) and round to four decimal places if needed.

Answered: Image /qna-images/answer/0edc6490-2cdb-4b04-a2ea-1c81ff360344.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 drawa normal curve with the area corresponding to the probability shaded. P(35