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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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✔ Question 5 According to a study, the time between taking a pain reliever and getting relief of a randomly selected patient has a normal distribution with a mean of 30 minutes and standard deviation of 4.2 minutes. Let X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X be the average time between taking a pain reliever and getting relief for a random sample of size 38. 1. Describe the probability distribution of X and state its parameters μ and σ: ✓✓(μ=30 ✓o = 4.2 X~N and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is less than 38.6 minutes. 0.0202 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the original population is normally distributed to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) ✓✓(HX) 30 and find the probability that the average time between taking a pain reliever and getting relief for a sample of 38 randomly selected patients is between 28 and 31 minutes. 0.9215 (Round the answer to 4 decimal places) X~N ox=0.7 ✓
Transcribed Image Text:✔ Question 5 According to a study, the time between taking a pain reliever and getting relief of a randomly selected patient has a normal distribution with a mean of 30 minutes and standard deviation of 4.2 minutes. Let X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X be the average time between taking a pain reliever and getting relief for a random sample of size 38. 1. Describe the probability distribution of X and state its parameters μ and σ: ✓✓(μ=30 ✓o = 4.2 X~N and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is less than 38.6 minutes. 0.0202 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the original population is normally distributed to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) ✓✓(HX) 30 and find the probability that the average time between taking a pain reliever and getting relief for a sample of 38 randomly selected patients is between 28 and 31 minutes. 0.9215 (Round the answer to 4 decimal places) X~N ox=0.7 ✓
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