Answered: Assume that the distribution for the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Assume that the distribution for the following scenario is normal. Use the standard normal table to find the probability. Round z-scores to the nearest hundredth. Do not round the probability from the table.

Heights of 2 year old boys are normally distributed with mean 28 inches and standard deviation of 2.4.

What is the chance a 2 year old boy is less than 26 inches tall? P(xP(x Answer

26)=P(z26)=P(z Answer

Answer

)=)= Answer

What is the chance a 2 year old boy is more than 20 inches tall? P(xP(x Answer

20)=P(z20)=P(z Answer

Answer

)=)= Answer

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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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