Answered: The length of eels (in cm) in a river…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 2E: Planetary Velocity The following table gives the mean velocity of planets in their orbits versus...

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a) If the normal length of eels is between 34 cm and 62 cm, what percentage of eels fall within this normal range? ________ (round to 2 decimal places)

b) What is the probability that an eel is at least 38 cm in length? ______ (round to 4 decimal places)

c) The middle 50% of the lengths (in cm) of the eels are between ______ and __________. (Round answers to 2 decimal places)

Due to the symmetry of the normal distribution we know that

P(X>38)=P(X<________)

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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