Answered: Find the probability that a single…

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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A leading magazine reported at one time that the average number of weeks an individual is unemployed is 19 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 19 weeks and that the population standard deviation is 8 weeks. Suppose you would like to select a random sample of 30 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is less than 18.
P(X < 18) =

Find the probability that a sample of size n=30 is randomly selected with a mean less than 18.
P(M < 18) =

Enter your answers as numbers accurate to 4 decimal places.

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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