Given with an unknown shape of a population, consider the following values: u=75, σ=5 & n=40. Calculate the probability that the sample mean is less than 74.A city has an average number of 620 public elementary school teachers with a standard deviation of 76. If a random sample of 36 cities is selected, what is the probability that the number of teachers is greater than 600 teachers?The average time it takes a group of Senior High School students to finish answering a long exam in Statistics and probability is 63 minutes. The standard deviation is 10 minutes. If the random variable is normally distributed, what is the probability that a 45 randomly selected SHS students who take the examination has a mean time of less than 60 minutes to complete the test?The program entitled "The Voice Philippines" has a mean number of viewers of 16 million with a standard deviation of 2.1 million. Assume a normal distribution, what is the probability that a randomly selected 9 episodes has a number of audiences between 15 to 18 million viewers?

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Answered: Given with an unknown shape of a…

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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Given with an unknown shape of a population, consider the following values: u=75, σ=5 & n=40. Calculate the probability that the sample mean is less than 74.
A city has an average number of 620 public elementary school teachers with a standard deviation of 76. If a random sample of 36 cities is selected, what is the probability that the number of teachers is greater than 600 teachers?
The average time it takes a group of Senior High School students to finish answering a long exam in Statistics and probability is 63 minutes. The standard deviation is 10 minutes. If the random variable is normally distributed, what is the probability that a 45 randomly selected SHS students who take the examination has a mean time of less than 60 minutes to complete the test?
The program entitled "The Voice Philippines" has a mean number of viewers of 16 million with a standard deviation of 2.1 million. Assume a normal distribution, what is the probability that a randomly selected 9 episodes has a number of audiences between 15 to 18 million viewers?

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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