Heights of 2-year-old boys are normally distributed with a mean of 34.2 inches and a standard deviation of 1.44 inches.If one 2-year-old boy is randomly selected, find the probability that he is shorter than 33 inches.If a random sample of thirty 2-year-old boys is selected, find the probability that their average height is less than 33 inches.Your submission needs to have:your answers and work for (a) and (b).

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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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Heights of 2-year-old boys are normally distributed with a mean of 34.2 inches and a standard deviation of 1.44 inches.

If one 2-year-old boy is randomly selected, find the probability that he is shorter than 33 inches.
If a random sample of thirty 2-year-old boys is selected, find the probability that their average height is less than 33 inches.

Your submission needs to have:

your answers and work for (a) and (b).

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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