Assume a normal random (X) variable with mean 0 and standard deviation of 1.a. What is the probability X is less than 0?b. What is the probability X is greater than 0?c. What is the probability X is greater than 1?d. What is the probability X is less than 1?3. A population has a mean of 15 and a standard deviation of 2. If the population issampled repeatedly with samples of size 49, what is the mean and standarddeviation of the sample means?4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24pounds, and the highest is 26 pounds. Each weight is equally likely so thedistribution of weights is uniform. A sample of 100 weights is taken.

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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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he population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=65, find the probability of a sample mean being greater than 217 if μ=216 and σ=3.5. For a sample of n=65, the probability of a sample mean being greater than 217 if μ=216 and σ=3.5 is nothing. (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean ▼ would not would be considered unusual because it ▼ does not lie lies within the range of a usual event, namely within ▼ 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.
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Assume a normal random (X) variable with mean 0 and standard deviation of 1. a. What is the probability X is less than 0? b. What is the probability X is greater than 0? C. What is the probability X is greater than 1? d. What is the probability X is less than 1?