Solve Part aSuppose X is a normally distributed variable with a mean of 10 and a deviation of 2. Please give a numerical solution for part (a)a. Find p(X<0) **Normal Distribution Problem**Suppose \(X\) is a normally distributed variable with a mean of 10 and a standard deviation of 2. Please give a numerical solution for part (a). Parts (b) and (c) are multiple choice, please select the correct answer.a. (2) Find \(P(X<0)\)b. (2) \(P(X>8)\) i) \(P(Z>-1)\) ii) \(1-P(Z>-1)\) iii) \(P(Z>1)\) iv) \(P(Z>2)\)c. (2) \(P(X>14) = ?\) i) \(P(X<14)\) ii) \(P(X<-14)\) iii) \(P(X<6)\) iv) \(1-P(X<6)\) Sure, here's the transcription tailored for an educational website:---**Problem 6: Understanding Normal Distribution**Suppose \( X \) is a normally distributed variable with a mean of 10 and a standard deviation of 2. Please provide a numerical solution for part (a). Parts (b) and (c) are multiple choice; please select the correct answer.**a.** (2 points) Find \( P(X<0) \)**b.** (2 points) \( P(X>8) \) i) \( P(Z>-1) \) ii) \( 1-P(Z>-1) \) iii) \( P(Z>1) \) iv) \( P(Z>2) \)**c.** (2 points) \( P(X>14) = ? \) i) \( P(X<14) \) ii) \( P(X<-14) \) iii) \( P(X<6) \) iv) \( 1-P(X<6) \)---This problem focuses on applying the properties of normal distribution to calculate probabilities.

Answered: Image /qna-images/answer/e4258996-90f7-4c48-8758-9f36798d631d.jpg

Answered: Suppose X is a normally distributed…

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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Question

Solve Part a

Suppose X is a normally distributed variable with a mean of 10 and a deviation of 2. Please give a numerical solution for part (a)

a. Find p(X<0)

**Normal Distribution Problem**

Suppose \(X\) is a normally distributed variable with a mean of 10 and a standard deviation of 2. Please give a numerical solution for part (a). Parts (b) and (c) are multiple choice, please select the correct answer.

a. (2) Find \(P(X<0)\)

b. (2) \(P(X>8)\)

i) \(P(Z>-1)\)

ii) \(1-P(Z>-1)\)

iii) \(P(Z>1)\)

iv) \(P(Z>2)\)

c. (2) \(P(X>14) = ?\)

i) \(P(X<14)\)

ii) \(P(X<-14)\)

iii) \(P(X<6)\)

iv) \(1-P(X<6)\)

Sure, here's the transcription tailored for an educational website:

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**Problem 6: Understanding Normal Distribution**

Suppose \( X \) is a normally distributed variable with a mean of 10 and a standard deviation of 2. Please provide a numerical solution for part (a). Parts (b) and (c) are multiple choice; please select the correct answer.

**a.** (2 points) Find \( P(X<0) \)

**b.** (2 points) \( P(X>8) \)

i) \( P(Z>-1) \)

ii) \( 1-P(Z>-1) \)

iii) \( P(Z>1) \)

iv) \( P(Z>2) \)

**c.** (2 points) \( P(X>14) = ? \)

i) \( P(X<14) \)

ii) \( P(X<-14) \)

iii) \( P(X<6) \)

iv) \( 1-P(X<6) \)

---

This problem focuses on applying the properties of normal distribution to calculate probabilities.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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