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μ = 30 and σ = 11. Find a value of x that has area 0.01 to its right. x = 4.414 USE SALT X

μ = 30 and σ = 11. Find a value of x that has area 0.01 to its right. x = 4.414 USE SALT X

MATLAB: An Introduction with Applications
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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Answer the question for a normal random variable \( x \) with mean \( \mu \) and standard deviation \( \sigma \) specified below. (Round your answer to one decimal place.) \[ \mu = 30 \quad \text{and} \quad \sigma = 11. \] Find a value of \( x \) that has area 0.01 to its right. [Button: USE SALT] Input box: \( x = \) 4.414 ❌ --- This exercise involves normal distribution, where you are asked to find a specific value of \( x \) with a given area to the right, indicating the use of z-scores and cumulative distribution functions. The provided solution of 4.414 is marked incorrect.
Transcribed Image Text:Answer the question for a normal random variable \( x \) with mean \( \mu \) and standard deviation \( \sigma \) specified below. (Round your answer to one decimal place.) \[ \mu = 30 \quad \text{and} \quad \sigma = 11. \] Find a value of \( x \) that has area 0.01 to its right. [Button: USE SALT] Input box: \( x = \) 4.414 ❌ --- This exercise involves normal distribution, where you are asked to find a specific value of \( x \) with a given area to the right, indicating the use of z-scores and cumulative distribution functions. The provided solution of 4.414 is marked incorrect.
Suppose the weights of 3-month-old babies are normally distributed—baby boys with a mean of 14.4 pounds and a standard deviation of 1.7, and baby girls with a mean of 12.7 pounds and a standard deviation of 1.7. What proportion of 3-month-old baby girls will weigh between 12 and 13 pounds? (Round your answer to four decimal places.) [Button: USE SALT] [Text Box]
Transcribed Image Text:Suppose the weights of 3-month-old babies are normally distributed—baby boys with a mean of 14.4 pounds and a standard deviation of 1.7, and baby girls with a mean of 12.7 pounds and a standard deviation of 1.7. What proportion of 3-month-old baby girls will weigh between 12 and 13 pounds? (Round your answer to four decimal places.) [Button: USE SALT] [Text Box]
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Step 1

Given that 

Mean = μ = 30 , Standard deviation = σ = 11

P(X > x) = 0.01

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